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; ( 4 − 5 i ) amperes and R = ( 3 + 7 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; ( 4 − 5 i ) amperes and R = ( 3 + 7 i ) ohms.
Solution Summary: The author calculates the voltage of the circuit E in volts using the FOIL method.
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;
(
4
−
5
i
)
amperes and
R
=
(
3
+
7
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.
Use the information to find and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −3 Δx = dx = 0.01
Δy =
dy =
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
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