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 properties of logarithms, given that In(2) = 0.6931 and In(3) = 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (Round your answers to four decimal places.)
(a) In(0.75)
(b) In(24)
(c) In(18)
1
(d) In
≈
2
72
Find the indefinite integral. (Remember the constant of integration.)
√tan(8x)
tan(8x) sec²(8x) dx
Chapter 2 Solutions
Precalculus, Books A La Carte Edition Plus MyLab Math with eText -- Access Card Package (6th Edition)
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