Plot the sketch of given function f ( t ) over the interval 0 s ≤ t ≤ ∞ .

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 12, Problem 1P

(a)

To determine

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

(a)

Expert Solution

Explanation of Solution

Given data:

f(t)={0, t≤05t, 0 s≤t≤10 s−5t+100, 10 s≤t≤30 s−50, 30 s≤t≤40 s2.5t−150, 40 s≤t≤60 s0, 60 s≤t<∞

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and draw the sketch of expression f(t) as shown in Figure 1.

Electric Circuits (10th Edition), Chapter 12, Problem 1P

Conclusion:

Thus, the sketch of given expression f(t) is shown in Figure 1.

(b)

To determine

Write the expression for the given function f(t) using the concept of window function.

(b)

Expert Solution

Answer to Problem 1P

The expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Explanation of Solution

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and write the expression for f(t) as follows:

f(t)={5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}

Conclusion:

Thus, the expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Q1. What is power dissipation in the Zener diode circuit given for a) RL=100 Ohm ? b) RL=∞

The one-line diagram of an unloaded power system is shown below. Reactances of the two sections of transmission line are shown on the diagram. The generators and transformers are rated as follows: 20 MVA, 13.8 kV, X = 0.20 p.u Generator 1: Generator 2: Generator 3: 30 MVA, 18 kV, X = 0.20 p.u Transformer Ti: Transformer T2: 30 MVA, 20 kV, X = 0.20 p.u 25 MVA, 220Y/13.8A kV, X = 10% Three single-phase units each rated 10 MVA, 127/18 kV, X = 10% HT sides connected in wye Transformer T3: LT sides connected in delta 35 MVA, 220Y/22Y KV, X = 10% j80 Q j100 Q Line 1 Line 2 T₁ T₂ Draw the impedance diagram with all reactances marked in per unit. Choose a base of 50 MVA, 13.8 kV in the circuit of generator 1.

ntotn

Answer 2

Question

Chapter 12, Problem 1P

(a)

To determine

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

(a)

Expert Solution

Explanation of Solution

Given data:

f(t)={0, t≤05t, 0 s≤t≤10 s−5t+100, 10 s≤t≤30 s−50, 30 s≤t≤40 s2.5t−150, 40 s≤t≤60 s0, 60 s≤t<∞

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and draw the sketch of expression f(t) as shown in Figure 1.

Electric Circuits (10th Edition), Chapter 12, Problem 1P

Conclusion:

Thus, the sketch of given expression f(t) is shown in Figure 1.

(b)

To determine

Write the expression for the given function f(t) using the concept of window function.

(b)

Expert Solution

Answer to Problem 1P

The expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Explanation of Solution

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and write the expression for f(t) as follows:

f(t)={5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}

Conclusion:

Thus, the expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 12, Problem 1P

(a)

To determine

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

(a)

Expert Solution

Explanation of Solution

Given data:

f(t)={0, t≤05t, 0 s≤t≤10 s−5t+100, 10 s≤t≤30 s−50, 30 s≤t≤40 s2.5t−150, 40 s≤t≤60 s0, 60 s≤t<∞

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and draw the sketch of expression f(t) as shown in Figure 1.

Electric Circuits (10th Edition), Chapter 12, Problem 1P

Conclusion:

Thus, the sketch of given expression f(t) is shown in Figure 1.

(b)

To determine

Write the expression for the given function f(t) using the concept of window function.

(b)

Expert Solution

Answer to Problem 1P

The expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Explanation of Solution

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and write the expression for f(t) as follows:

f(t)={5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}

Conclusion:

Thus, the expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 12, Problem 1P

(a)

To determine

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

(a)

Expert Solution

Explanation of Solution

Given data:

f(t)={0, t≤05t, 0 s≤t≤10 s−5t+100, 10 s≤t≤30 s−50, 30 s≤t≤40 s2.5t−150, 40 s≤t≤60 s0, 60 s≤t<∞

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and draw the sketch of expression f(t) as shown in Figure 1.

Electric Circuits (10th Edition), Chapter 12, Problem 1P

Conclusion:

Thus, the sketch of given expression f(t) is shown in Figure 1.

(b)

To determine

Write the expression for the given function f(t) using the concept of window function.

(b)

Expert Solution

Answer to Problem 1P

The expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Explanation of Solution

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and write the expression for f(t) as follows:

f(t)={5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}

Conclusion:

Thus, the expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 12, Problem 1P

(a)

To determine

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

(a)

Expert Solution

Explanation of Solution

Given data:

f(t)={0, t≤05t, 0 s≤t≤10 s−5t+100, 10 s≤t≤30 s−50, 30 s≤t≤40 s2.5t−150, 40 s≤t≤60 s0, 60 s≤t<∞

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and draw the sketch of expression f(t) as shown in Figure 1.

Electric Circuits (10th Edition), Chapter 12, Problem 1P

Conclusion:

Thus, the sketch of given expression f(t) is shown in Figure 1.

(b)

To determine

Write the expression for the given function f(t) using the concept of window function.

(b)

Expert Solution

Answer to Problem 1P

The expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Explanation of Solution

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and write the expression for f(t) as follows:

f(t)={5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}

Conclusion:

Thus, the expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Answer 6

Chapter 12, Problem 1P

(a)

To determine

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

(a)

Expert Solution

Explanation of Solution

Given data:

f(t)={0, t≤05t, 0 s≤t≤10 s−5t+100, 10 s≤t≤30 s−50, 30 s≤t≤40 s2.5t−150, 40 s≤t≤60 s0, 60 s≤t<∞

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and draw the sketch of expression f(t) as shown in Figure 1.

Electric Circuits (10th Edition), Chapter 12, Problem 1P

Conclusion:

Thus, the sketch of given expression f(t) is shown in Figure 1.

Answer 7

Chapter 12, Problem 1P

(a)

To determine

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

Answer 8

(a)

Expert Solution

Explanation of Solution

Given data:

f(t)={0, t≤05t, 0 s≤t≤10 s−5t+100, 10 s≤t≤30 s−50, 30 s≤t≤40 s2.5t−150, 40 s≤t≤60 s0, 60 s≤t<∞

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and draw the sketch of expression f(t) as shown in Figure 1.

Electric Circuits (10th Edition), Chapter 12, Problem 1P

Conclusion:

Thus, the sketch of given expression f(t) is shown in Figure 1.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

(b)

To determine

Write the expression for the given function f(t) using the concept of window function.

(b)

Expert Solution

Answer to Problem 1P

The expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Explanation of Solution

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and write the expression for f(t) as follows:

f(t)={5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}

Conclusion:

Thus, the expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Answer 13

(b)

To determine

Write the expression for the given function f(t) using the concept of window function.

Answer 14

(b)

Expert Solution

Answer to Problem 1P

The expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Answer 15

(b)

Expert Solution

Answer 16

(b)

Expert Solution

Answer 17

Expert Solution

Answer 18

Explanation of Solution

Calculation:

Construct a single continuous definition for the function using step function as follows:

0, at t≤0; 5t, on at t=0, off at t=10;−5t+100, on at t=10, off at t=30;−50, on at t=30, off at t=40;2.5t−150, on at t=40, off at t=60;0, at 60≤t<∞

Use the values and write the expression for f(t) as follows:

f(t)={5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}

Conclusion:

Thus, the expression for the given function f(t) is {5t[u(t)−u(t−10)]+(100−5t)[u(t−10)−u(t−30)]−50[u(t−30)−u(t−40)]+(2.5t−150)[u(t−40)−u(t−60)]}.

Answer 19

Ch. 12.4 - Prob. 1AP Ch. 12.5 - Prob. 2AP Ch. 12.7 - Prob. 3AP Ch. 12.7 - Prob. 4AP Ch. 12.7 - Prob. 5AP Ch. 12.7 - Prob. 6AP Ch. 12.7 - Prob. 7AP Ch. 12.7 - Prob. 8AP Ch. 12.7 - Prob. 9AP Ch. 12.8 - Use the initial- and final-value theorems to find...

Plot the sketch of given function f ( t ) over the interval 0 s ≤ t ≤ ∞ .

Videos

Plot the sketch of given function f(t) over the interval 0 s≤t≤∞.

Explanation of Solution

Write the expression for the given function f(t) using the concept of window function.

Answer to Problem 1P

Explanation of Solution

Want to see more full solutions like this?

Chapter 12 Solutions