Flag Electromagnetic Induction> A coil of resistance 40 O is connected ac...
question mark

A coil of resistance 40 Ω is connected across a 4.0 V battery. 0.10 s after the battery is connected, the current in the coil is 63 mA. Find the inductance of the coil.

Simran Bhatia , 10 Years ago
Grade 11
anser 1 Answers
Kevin Nash

Last Activity: 10 Years ago

Sol. R = 40 Ω, E = 4V, t = 0.1, i = 63 mA i = i0 – (1 – e^tR/2) ⇒ 63 × 10^–3 = 4/40 (1 – e^–0.1 × 40/L) ⇒ 63 × 10^–3 = 10^–1 (1 – e^–4/L) ⇒ 63 × 10^–2 = (1 – e^–4/L) ⇒ 1 – 0.63 = e^–4/L ⇒ e^–4/L = 0.37 ⇒ –4/L = ln (0.37) = –0.994 ⇒ L = -4/-0.994 = 4.024 H = 4H

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...