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Q. 56

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 926

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Short Answer

A series RLC circuit consists of a resistor, a inductor, and a capacitor. It is connected to a oscillator with a peak voltage of . What is the instantaneous current when

a. ?

b. and is decreasing?

(a) Instantaneous current is,

(b) Instantaneous current is,

See the step by step solution

Step by Step Solution

Part (a) Step 1: Given information

We are given that,

Resistance of resistor is,

Inductance of inductor is,

Capacitance of capacitor is,

Frequency is,

Peak voltage is,

And

Part (a) Step 2: Simplify

We know that inductive reactance is,

And capacitive reactance is,

And phase angle is,

Peak current is,

As instantaneous emf is given as,

Now, for

Equation becomes,

Instantaneous current is,

Part (b) Step1: Given information

We are given that, and is decreasing

Part (b) Step 2: Simplify

We have,

At

Equation becomes,

Therefore instantaneous current is,

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