Complex numbers are used in electronics to describe the current &*electric circuit. Ohm**#x2019;s law relates the current in a circuit, I, &*Camperes, the voltage of the circuit, E , in volts, and the resistance of the circuit, R, in ohms, by the formula E = IR. Use this formula to solve Exercises 61-62. Find E , the voltage of a circuit, if I = **#x00A0; ( 2 − 3 i ) amperes and R = ( 3 + 5 i ) ohms.
Complex numbers are used in electronics to describe the current &*electric circuit. Ohm**#x2019;s law relates the current in a circuit, I, &*Camperes, the voltage of the circuit, E , in volts, and the resistance of the circuit, R, in ohms, by the formula E = IR. Use this formula to solve Exercises 61-62. Find E , the voltage of a circuit, if I = **#x00A0; ( 2 − 3 i ) amperes and R = ( 3 + 5 i ) ohms.
Solution Summary: The author calculates the voltage of the circuit in volts by the formula E=IR.
Complex numbers are used in electronics to describe the current &*electric circuit. Ohm**#x2019;s law relates the current in a circuit, I, &*Camperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula E = IR. Use this formula to solve Exercises 61-62.
Find E, the voltage of a circuit, if
I
=
**#x00A0;
(
2
−
3
i
)
amperes and
R
=
(
3
+
5
i
)
ohms.
Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.
Let m(t) be a continuous function with a domain of all real numbers. The table below shows some of the values of m(t) .
Assume the characteristics of this function are represented in the table.
t
-3 -2 8 11
12
m(t) -7 6
3
-9
0
(a) The point (-3, -7) is on the graph of m(t). Find the corresponding point on the graph of the transformation y = -m(t) + 17.
(b) The point (8, 3) is on the graph of m(t). Find the corresponding point on the graph of the transformation y =
-m (−t) .
24
(c) Find f(12), if we know that f(t) = |m (t − 1)|
f(12) =
Use the method of washers to find the volume of the solid that is obtained
when the region between the graphs f(x) = √√2 and g(x) = secx over the
interval ≤x≤ is rotated about the x-axis.
5
Use the method of disks to find the volume of the solid that is obtained
when the region under the curve y = over the interval [4,17] is rotated
about the x-axis.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.