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Important questions on Electric current resistance and resistivity for JEE Main and Advanced






Question 1:
A cylindrical tube of length L has inner radius a and outer radius b as shown below in the figure
Important questions on Electric current resistance and resistivity for JEE Main and Advanced
Given that ρ is the resistivity of the material. Find the resistance of the tube between its ends.
Question 2:
α1 and α2  are the temperature coefficient  of the two resistors R1 and R2 at any  temperature T0 0 C. Find the equivalent temperature coefficient  of their equivalent resistance  if both R1 and R2 are connected in series combination. Assume that  α1 and α2  remain same with change in temperature
Question 3:
If a copper wire is stretched to make it .2%  longer. Find the percentage change in the resistance
Question 4:
An electric current of 5 A passes through a circuit containing three wires(A,B,C) of the same material .Length of the wires in the circuit are in the ratio 2:3:4 And their diameters are in the ratio 3:4:5.Find the amount of current flowing in each branch  of the circuit  when wires are arranged in parallel combination


Question 5:
Find the equivalent resistance between point A and B in following combination of resistors
Important questions on Electric current resistance and resistivity for JEE Main and Advanced
Question 6:
The current density across a cylindrical conductor of Radius A varies according to the following relation
Important questions on Electric current resistance and resistivity for JEE Main and Advanced
Where K is the constant vector across the length of the conductor and x is the distance from axis.
Find the current through cylindrical cross-section
 


Solutions







Class 12 Maths Class 12 Physics