Mastering : Ch 19 Hw - Internet Explorerp TOSHIBA https: session. mastering phys

Question

Mastering : Ch 19 Hw - Internet Explorerp TOSHIBA https: session. mastering physics.com/myct item View?assignmentProblemDe 856 14 1 36&offsets; net Ch 19 HW Problem 19.54 Problem 19.54 Part A In (Figure!) . the total resistance is 19.0 k . and the battery's emf is 31.0 The time constant is measured to be 20.0 Calculate the total capacitance of the circuit Express your answer with the appropriate units. | V | Units atue Submit My Answers Give Up Part B Calculate the time it takes for the voltage across the resistor to reach 17.0 V after the switch is closed Express your answer to three significant figures and include the appropriate units. t= Value Units Figure 1 of 1 Submit My Answers Give Up 18:43 10/19/2017

Explanation / Answer

Given

resistance is R = 19 k ohm,v = 31.0 V

and T = 20 *10^-6 s

Part A

we know that the time constant T = R*C ==> C = T/R = 20*10^-6/(19*10^3) F = 1.05263*10^-9 F

Part B

we knwo that

V(t) = V0(e^(-t/T)

17 = 31(e^(-t/(20*10^-6)))

t= 12.0154*10^-6 s

after 12.0154*10^-6 s the voltage will reach to 17 V

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