A condenser of capacity C is charged to a potential difference of V₁. The plates

A Condenser Of Capacity C Is Charged To A Potential Physics Question

A condenser of capacity C is charged to a potential difference of V₁. The plates of the condenser are then connected to an ideal inductor of inductance L. The current through the inductor when the potential difference across the condenser to V₂ is

Options

(a) [ C (V₁² – V₂²) / L ]¹/²
(b) [ C (V₁ – V₂)² / L ]¹/²
(c) C (V₁² – V₂²) / L
(d) C (V₁ – V₂) / L

Correct Answer:

[ C (V₁² – V₂²) / L ]¹/²

Explanation:

q = CV₁ cos wt
i = dq/ dt = – ?Cv₁ sin ?t
Also, ?ᅡᄇ = 1 / LC and V = V₁ cos ?t
At t = t₁, V = V₂ and i = – ?CV₁ sin ?t₁
cos ?t₁ = V₂ / V₁ (-ve sign gives direction)
Hence, i = V √(C/L) [ 1 – V₂² / V₁²) ]¹/²
= [ C (V₁² – V₂²) / L ]¹/²

Related Questions:

  1. Three blocks A,B and C of masses 4 kg, 2 kg and 1 kg respectively are in contact
  2. The energy of a hydrogen atom in the ground state is – 13.6 eV. The energy of a He⁺ ion
  3. The drift velocity does not depend upon
  4. The total energy of a particle executing SHM is 80 J
  5. The nuclei of which one of the following pairs of nuclei are isotones?

Topics: Electrostatics (146)
Subject: Physics (2479)

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

NEETLab Mobile App

Share this page with your friends

Be the first to comment

Leave a Reply

Your email address will not be published.


*