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.
Explain the conditions under which the Radius of Convergence of the Power Series is a "finite positive real number" r>0
This means that when the Radius of Convergence of the Power Series is a "finite positive real number" r>0, then every point x of the Power Series on (-r, r) will absolutely converge (x ∈ (-r, r)). Moreover, every point x on the Power Series (-∞, -r)U(r, +∞) will diverge (|x| >r). Please explain it.
Explain the conditions under which Radious of Convergence of Power Series is infinite. Explain what will happen?
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