Home
Class 12
PHYSICS
The charge q flowing in a conductor of u...

The charge q flowing in a conductor of uniform cross section, varies with time as `q=alphat-betat^2` (where `alphagt0.betagt0)`.Then, the current

A

Decreases linearly with time

B

Reaches a maximum and then decreases

C

Falls to zero after a time `t=alpha//2beta`

D

Changes at the rate `-2beta`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D

`1A,2A,-1A,2A`
Promotional Banner

Similar Questions

Explore conceptually related problems

The charge flowing through a resistance R varies with time t as Q=at-bt^(2) , where a and b are positive constants The total heat produced in R is - (A) (a^3R)/(3b) (B) (a^3R)/(2b) (C) (a^3R)/(b) (D) (a^3R)/(6b)

Resistivity of the material of a conductor of uniform area of cross-section varies along its length as p=p_0(1+alphax) Find the resistance of the conductor if its length is L and area of cross section is A.

A heating element of resistance r is fitted inside an adiabatic cylinder which carries a frictionless piston of mass in and cross-section A as shown in diagram. The cylinder contains one mole of an ideal diatomic gas. The current flows through the element such that the temperature rises with time t as DeltaT = alphat + 1/2beta t^2 ( alpha and beta are constants), while pressure remains constant. The atmospheric pressure above the piston is P_0 . Then the rate of increase in internal energy is 5/2 R (alpha + beta t) the current flowing in the element is sqrt(5/(2r)(alpha +betat)) the piston moves upwards with constant acceleration the piston moves upwards with constant speed

The current in a conductor varies with time t as I=2t+3t^2 , where I is in ampere and t in second. Electric charge flowing through a section of the conductor during t=3 s and t=3 s is

A conductor of uniform cross-section is carrying a current of a ampere. The number of free electrons flowing across the across the cross- section of the condukctor per second is

If a current of 3 A flows through a conductor for 10 minutes, then calculate the amount of charges that flows through the conductor in that time.