A coil of inductance 5 H is joined to a cell of emf 6 V through a resistance of 10 Ω at t = 0 . The emf across the coil at time t = l n 2 sec is

Question

A coil of inductance 5 H is joined to a cell of emf 6 V through a resistance of 10 Ω at t = 0 . The emf across the coil at time t = l n 2 sec is, 3 V, 1.5 V, 0.75 V, 4.5 V

MARKS App · Accepted Answer

i = ε R 1 – e – t R L ∴ Emf across R is ε R = ε 1 – e – t R L ⇒ ε R = 6 V 1 – e – l n 2 . 2 ⇒ ε R = 6 V 1 – 1 2 = 3 V ∴ Voltage across coil ε c = ε – ε R = 3 volt

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