Chapter 32: Q. 45 (page 925)

a. What is the peak current supplied by the emf in FIGURE $P 32.45$ ?
b. What is the peak voltage across the $3.0 m F$ capacitor?

Short Answer

Expert verified

a. The peak current supplied by the emf in FIGURE $P 32.45$ is $25 m A$

b. The peak voltage across the $3.0 m F$ capacitor is $6.7 V$

Step by step solution

Part(a) Step 1: Given information

We are given that the frequency $200 H z$ , localid="1649935325324" $ε_{0} = 10 V$ , $C = 3 μ F$ and $C_{e q} = 2 μ F$

We need to find peak current supplied by the emf in FIGURE $P 32.45$

Part(a) Step 2: Simplify

The peak current can be calculated by $I = \frac{V}{X_{C}},$ We can calculate and by

$V = ε_{0}, X_{C} = \frac{1}{2 πfC}$ , now by putting these value we can get ,

$I = \frac{ε_{0}}{\frac{1}{2 πfC}} = 2 {πfCε}_{0}$

Finally putting all the values in above equation , we get

$I = 2 {πfCε}_{0} = 25 mA$

Part(b) step 1: Given information

We are given that frequency $200 H z$ , $ε_{0} = 10 V$ , $C = 3 μ F$ and $C_{e q} = 2 μ F$

We have to peak voltage in $3.0 m F$ capacitor.

Part(b) Step 2: Simplify

We can find peak voltage through the given formula , $V_{C} = I \times X_{C}$

Where , $I = 2 {πfC}_{eq} ε_{0}, X_{C} = \frac{1}{2 πfC}$

Putting the values , we get

$V_{C} = \frac{C_{e q}}{C} ε_{0}$

Substituting the values , $V_{C} = \frac{C_{e q}}{C} ε_{0} = \frac{2}{3} \times 10 = 6.7 V$

V_{C} = I \cdot X_{C} X_{C} = \frac{1}{2 πfC}, I = 2 {πfC}_{eq} ε_{0}

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a. What is the peak current supplied by the emf in FIGURE $P 32.45$ ?
b. What is the peak voltage across the $3.0 m F$ capacitor?

Short Answer

Step by step solution

Part(a) Step 1: Given information

Part(a) Step 2: Simplify

Part(b) step 1: Given information

Part(b) Step 2: Simplify

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a. What is the peak current supplied by the emf in FIGUREP32.45?b. What is the peak voltage across the 3.0mFcapacitor?

Short Answer

Step by step solution

Part(a) Step 1: Given information

Part(a) Step 2: Simplify

Part(b) step 1: Given information

Part(b) Step 2: Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Modern Physics

Translational Dynamics

Magnetism

Solid State Physics

Torque and Rotational Motion

Conservation of Energy and Momentum

Study anywhere. Anytime. Across all devices.

a. What is the peak current supplied by the emf in FIGURE $P 32.45$ ?
b. What is the peak voltage across the $3.0 m F$ capacitor?