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Alternating e.m.f. of E = 220 sin 100 pi...

Alternating e.m.f. of `E = 220 sin 100 pi t` is applied to a circuit containing an inductance of `(1//pi)` henry. Write equation for instantaneous current through the circuit. What will be the reading of a.c. galvanometer connected in the circuit ?

Text Solution

AI Generated Solution

To solve the problem step by step, we will derive the equation for the instantaneous current through the circuit and then calculate the reading of the AC galvanometer. ### Step 1: Identify the given parameters The alternating e.m.f. is given by: \[ E(t) = 220 \sin(100 \pi t) \] From this, we can identify: - \( E_0 = 220 \, \text{V} \) (peak voltage) - \( \omega = 100 \pi \, \text{rad/s} \) (angular frequency) ...
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Knowledge Check

  • An alternating e.m.f. given by e=200 sin 50 t is applied to a circuit containing only a resistance of 50 Omega . What is the value of r.m.s. current in the circuit?

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