JEE PHYSICS MCQ: CURRENT ELECTRICITY

1 Medium

1 of 1

Application +4 | -1

The charge flown through a resistance

\mathrm{R}

in time

\mathrm{t}

varies with time according to

\mathrm{Q}=\mathrm{at}-\mathrm{bt}^2

. The total heat produced in

\mathrm{R}

by the time current becomes zero is :

View answer and explanation

Correct option: A

\frac{a^3 R}{6 b}

Option A (

\frac{a^3 R}{6 b}

) is correct because it represents the total heat produced, calculated by integrating the square of the current over the time until the current becomes zero.

More Questions from CURRENT ELECTRICITY

Practice All Chapter MCQs →

The specific resistance of a wire is

\mathrm{\rho }

, its volume is

3\,\,{\mathrm{m}^3}

and its resistance is

3\,\,\mathrm{\Omega }

, then its length will be Magnitude of drift velocity per unit electric field is Statement-1: If a resistor is connected to a battery the current decreases when the temperature increases.
Statement-2: For most of the resistors, resistance increases with increase in temperature. The reciprocal of resistance is Corresponding to the resistance

4.7\,\, \times \,\,{10^6}\,\,\mathrm{\Omega }\,\, \pm \,\,5\,\,\%

, which is order of colour coding on carbon resistors? In a meter bridge, the gaps are closed by resistance 2 and 3 ohms. The value of shunt to be added to 3 ohm resistor to shift the balancing point by

22.5\,cm