Chapter14: Inductance
Section: Chapter Questions
Problem 66P: The self-inductance and capacitance of an oscillating LC circuit are L = 20 mH and C = 1.0 F ,...
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Answer part j.
![Problem 4: An RL circuit is shown on the right. L = 3.8 H. R =125 Q. ɛ = 8.5 V.
R
Part (a) At moment t = 0, lose the switch. Express the current I in the circuit as a function of time in terms of L. R, and ɛ.
I(C) = (1-) v Correct!
Part (b) Express the inductive time constant, t, in terms of L and R.
/ Correct!
1= L/R
Part (c) Calculate the numerical value of r.
/ Correct!
7= 0.0304
Part (d) Calculate the numerical value of I at t= 1 s in A.
V Correct!
1= 0.068
Part (e) Express the time to, when the current reaches one half of its maximum value, in terms of L and R.
to = - LR In(0.5)
/ Correct!
Part (f) Calculate the numerical value of to in s.
t0 = 0.021 v Correct!
Part (g) What's the direction of the current, clockwise or counterclockwise?
/ Correct!
Clockwise.
Part (h) Express the magnitude of the induced emf on the inductor, &7, in terms of L and I.
2L =L( dI/dt ) Correct!
Part (i) Express &z as a function of time in terms of e, L, and R.
-tR
E (t) = ee 1.
V Correct!
Part (j) Calculate the numerical value of ɛ, at t = 0.01 s in V.
EL](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddad0c88-e030-4daa-996b-6cc3883fedac%2F753a69f7-46ce-408f-9fde-39f4aea00ced%2Fmsw9hvh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 4: An RL circuit is shown on the right. L = 3.8 H. R =125 Q. ɛ = 8.5 V.
R
Part (a) At moment t = 0, lose the switch. Express the current I in the circuit as a function of time in terms of L. R, and ɛ.
I(C) = (1-) v Correct!
Part (b) Express the inductive time constant, t, in terms of L and R.
/ Correct!
1= L/R
Part (c) Calculate the numerical value of r.
/ Correct!
7= 0.0304
Part (d) Calculate the numerical value of I at t= 1 s in A.
V Correct!
1= 0.068
Part (e) Express the time to, when the current reaches one half of its maximum value, in terms of L and R.
to = - LR In(0.5)
/ Correct!
Part (f) Calculate the numerical value of to in s.
t0 = 0.021 v Correct!
Part (g) What's the direction of the current, clockwise or counterclockwise?
/ Correct!
Clockwise.
Part (h) Express the magnitude of the induced emf on the inductor, &7, in terms of L and I.
2L =L( dI/dt ) Correct!
Part (i) Express &z as a function of time in terms of e, L, and R.
-tR
E (t) = ee 1.
V Correct!
Part (j) Calculate the numerical value of ɛ, at t = 0.01 s in V.
EL
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