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

Electricity and Magnetism

Nuclear Physics

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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?