A resistance R in series with inductance Lis shunted by an equal resistance R with capacity C. An alternating e.m.f. sin pt produces currents i, and i, in the two branches. If initially there is no current, determine i, and i, from the equations: be E R L sin pt. +Ri= p E cos pt and dt Verify that if RC = L, the total current i, + i will dt iz + Ri = E sin pt +