The Circuit contains a resistor R1, Resistor with R2 and an inductance L in series with a battery of emf ε0=V0 . R2 having a switch in parallel, the switch S is initially closed. At t = 0, the switch S is opened, so that an additional very large resistance R2 (with R2>>R1 ) is now in series with the other elements.

Question

(a) If the switch has been closed for a long time before t = 0, what is the steady current I0 in the circuit? Express your answer in terms of, if appropriate, V0, R1, R2 and L

(b) While this current I0 is flowing, at time t = 0, the switch S is opened. Write the differential equation for I(t) that describes the behavior of the circuit at times t>0. Solve this equation (by integration) for I(t) under the approximation that V0=0 . (Assume that the battery emf is negligible compared to the total emf around the circuit for times just after the switch is opened.) Express your answer in terms of the initial current I0 , and R1 , R2 , t and L (for exponential function use e^(x) for ex).

(c) Using your results from part b), find the value of the total emf around the circuit (which from Faraday's law is −LdI/dt ) just after the switch is opened. Express your answer in terms of, if required, V0, R1, R2 and L

d) What is the magnitude of the potential drop across the resistor R2 at times t > 0, just after the switch is opened? Express your answers in units of V0 assuming R2=100R1

Answer 1

Did somebody figure out b) and c) please?

Answer 2

plz help.....what are the answers for a) n d) part ???

Answer 3

I got b) give d)

Answer 4

D= 100

anyways i need b and c :/ i went around in circles