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In (Figure 1), the total resistance is 17.0 kn, and the battery's emf is 34.0 V. The time constant is measured to be 18.0 us. Figure R ww E + S 1 of 1 C cŤ Calculate the total capacitance of the circuit. Express your answer with the appropriate units. C= Submit Part B t = μА Value O Request Answer Calculate the time takes for the voltage across the capacitor to reach 16.0 V after the switch is closed. Express your answer to three significant figures and include the appropriate units. μA Units Value ? IInits Review I Cons ?

In (Figure 1), the total resistance is 17.0 kn, and the battery's emf is 34.0 V. The time constant is measured to be 18.0 us. Figure R ww E + S 1 of 1 C cŤ Calculate the total capacitance of the circuit. Express your answer with the appropriate units. C= Submit Part B t = μА Value O Request Answer Calculate the time takes for the voltage across the capacitor to reach 16.0 V after the switch is closed. Express your answer to three significant figures and include the appropriate units. μA Units Value ? IInits Review I Cons ?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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In (Figure 1), the total resistance is 17.0 kn, and the battery's emf is 34.0 V. The time constant is measured to be 18.0 μs. Figure R ww E + S 1 of 1 Calculate the total capacitance of the circuit. Express your answer with the appropriate units. C = Submit Part B μÅ t = Value Request Answer μÀ Units Calculate the time it takes for the voltage across the capacitor to reach 16.0 V after the switch is closed. Express your answer to three significant figures and include the appropriate units. Value ? Units Review | Consta ?
Transcribed Image Text:In (Figure 1), the total resistance is 17.0 kn, and the battery's emf is 34.0 V. The time constant is measured to be 18.0 μs. Figure R ww E + S 1 of 1 Calculate the total capacitance of the circuit. Express your answer with the appropriate units. C = Submit Part B μÅ t = Value Request Answer μÀ Units Calculate the time it takes for the voltage across the capacitor to reach 16.0 V after the switch is closed. Express your answer to three significant figures and include the appropriate units. Value ? Units Review | Consta ?
Figure 10 V. C₂ C₁ = 1.0 μF 1 of 1 C3 = 1.0 μF Part A What is the ratio of the voltage V₁ across capacitor C₁ in (Figure 1) to the voltage V₂ across capacitor C₂? Suppose that C₂ = 1.1 μF. Express your answer using two significant figures. V₁ V₂ = VE ΑΣΦ 2.31 ***** Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining ?
Transcribed Image Text:Figure 10 V. C₂ C₁ = 1.0 μF 1 of 1 C3 = 1.0 μF Part A What is the ratio of the voltage V₁ across capacitor C₁ in (Figure 1) to the voltage V₂ across capacitor C₂? Suppose that C₂ = 1.1 μF. Express your answer using two significant figures. V₁ V₂ = VE ΑΣΦ 2.31 ***** Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining ?
Expert Solution
Step 1

QUESTION-1

Given,

Resistance R=17KΩ=17×103Ω

Battery e.m.f ε=34V

Time constant τ=18μs=18×10-6 s

We know,

time constant τ=RC

So, Total capacitance of the circuit 

C=τR

    =18×10-617×103

    =1.06×10-9 F

 

PART-B

Since battery has an emf of 34V, if the voltage across the resistor is 16 V, the voltage across the capacitor is Vc=(34-16)V=18V

We know, 

Vc=ε(1-e-tτ)

or, t=-τ ln(1-Vcε)

       =-(18×10-6)ln(1-1834)

       =1.36×10-5s or =13.6 μs

 

 

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