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Chapter 32: Q. 45 (page 925)

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

Expert verified

a. The peak current supplied by the emf in FIGURE P32.45is 25mA

b. The peak voltage across the 3.0mFcapacitor is6.7V

Step by step solution

01

Part(a) Step 1: Given information 

We are given that the frequency 200Hz, localid="1649935325324" 蔚0=10V, C=3渭Fand Ceq=2渭F

We need to find peak current supplied by the emf in FIGUREP32.45

02

Part(a) Step 2: Simplify 

The peak current can be calculated by I=VXC,We can calculate and by

V=蔚0,XC=12蟺蹿颁, now by putting these value we can get ,

I=蔚012蟺蹿颁=2蟺蹿颁蔚0

Finally putting all the values in above equation , we get

I=2蟺蹿颁蔚0=25mA

03

Part(b) step 1: Given information 

We are given that frequency 200Hz,蔚0=10V,C=3渭Fand Ceq=2渭F

We have to peak voltage in 3.0mFcapacitor.

04

Part(b) Step 2: Simplify 

We can find peak voltage through the given formula ,VC=I脳XC

Where , I=2蟺蹿颁eq蔚0,XC=12蟺蹿颁

Putting the values , we get

VC=CeqC蔚0

Substituting the values ,VC=CeqC蔚0=23脳10=6.7V

VC=I路XCXC=12蟺蹿颁,I=2蟺蹿颁eq蔚0

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Most popular questions from this chapter

The peak current through an inductor is 10mA. What is the peak current if

a. The emf frequency is doubled?

b. The emf peak voltage is doubled (at the original frequency)

The peak current to and from a capacitor is 10mA. What is the peak current if

a. The emf frequency is doubled?

b. The emf peak voltage is doubled (at the original frequency)

The small transformers that power many consumer products produce a12.0Vrms, 60Hzemf. Design a circuit using resistors and capacitors that uses the transformer voltage as an input and produces a 6.0Vrms output that leads the input voltage by 45掳.

An inductor has a peak current of 330渭A when the peak voltage at45MHzis 2.2V

a. What is the inductance?

b. If the peak voltage is held constant, what is the peak current at 90MHz?

A capacitor is connected to a 15kHzoscillator. The peak current is 65mAwhen the rms voltage is 6.0V. What is the value of the capacitance C?

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