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.
Find a plane containing the point (3, -3, 1) and the line of intersection of the planes 2x + 3y - 3z = 14
and -3x - y + z = −21.
The equation of the plane is:
Determine whether the lines
L₁ : F(t) = (−2, 3, −1)t + (0,2,-3) and
L2 : ƒ(s) = (2, −3, 1)s + (−10, 17, -8)
intersect. If they do, find the point of intersection.
● They intersect at the point
They are skew lines
They are parallel or equal
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