Show that the resistivity of a conductor is given by: rho=(mI)/(n e^2tau)

Show that the relation R in the set Z of integers given by R = {(a, b) : 2 divides a – b} is an equivalence relation.

Show that the relation R in the set R given by, R = {(a, b): a≤b^2} neither reflexive nor symmetric nor transitive.

Calcualte the temperature at which the resistance of a conductor becomes 20% more than its resistance at 27^@C . The value of the temperature coefficient of resistance of the conductor is 2.0 xx 10^-4 K^-1

At 0^(@)C the resistance of conductor of a conductor B is n times that of condoctor A temperature coefficient of resistance for A and B are alpha_(1) and alpha_(2) respectively the temperature coefficient of resistance of a circiut segment constant A and B in series

The question given below consist of an assertion (A) and a reason ( R). Use the following key to choose the appropriate answer to these questions from the codes (a), (b), ( c) and (d) given below: (a) Both A and R are true and R is the correct explanation of A. (b) Both A and R are true but R is NOT the correct explanation of A. (c) A is true but R is false. (d) A is false and R is also false. Assertion:The resistivity of a material depends upon the shape and size of the conductor. Reason:The resistance of a conductor is directly proportional to its length.

Prove that electric energy (W) consumed in a conductor is given by the formula W = I^2R t

Show that the binary operation on the set 'N' given by a * b =(a+b)/2 AA x, b in N is commutative but. associative.

Show that the binary operation on the set 'N' given by a * b =(a+b)/2 AA x, b in N is commutative but. associative.

Explain how the resistivity of a conductor depends upon number density 'n' of free electrons?