The thermal energy developed in a current-carrying resistor is given by `U=I^(2)Rt` and also by `U=VIt.`should we say that U is proportional to `I^(2)`or to `I` ?

The potential energy U(x) of a particle moving along x - axis is given by U(x)=ax-bx^(2) . Find the equilibrium position of particle.

The energy stored in coil carrying current I is U. If current is halved, then energy stored in the coil will be (a) U/2 (b) U/4 (c) 2U (d) 4U

The energy stored in coil carrying current I is U. If current is halved, then energy stored in the coil will be (a) U/2 (b) U/4 (c) 2U (d) 4U

A nuclear reactor using .^(235)U generates 250 MW of electric power. The efficiency of the reactor (i.e., efficiency of conversion of thermal energy into electrical energy) is 25% . What is the amount of .^(235)U used in the reactor per year? The thermal energy released per fission of .^(235)U is 200 MeV .

A current i_1 = i_0 sin omegat passes through a resistor of resistance R . How much thermal energy is produced in one time period? A current i_2 = -i_0 sin omegat passes through the resistor. How much thermal energy is produced in one time period? If i_1 and i_2 both pass through the resistor simultaneously, how much thermal energy is produced? Is the principle of superposition obeyed in this case?

In the given cirucit diagram the current through the 1 ohm resistor is I. Find the value of 2I (in A)?

A conductor is being charged by connecting it in series with a resistance and an ideal battery. The battery supplies energy at a rate u(t), the thermal energy of the resistor Increases at a rate Ur(t) and the capacitor stores energy at a rate U_(c)(t) .What can be concluded about the relationship between U_(R)(t) and U_(c)(t) at different stages of charging of condenser.

Let gravitational potential energy U is given by U=Asqrtx/(B+x^2) , where x is distance. The dimensional formula of A/B is

A resistor develops 400J of thermal energy in 10 s when a current of 2A is pased through it. (a) Find its resistance . (b) If the current is increased to 4 A, what will be the energy developed in 10 s.

Find the dimensional formulae of a the charge Q. the potential V, c. the capacitance C and d the resistance R. Some of the equations containing these quantities are Q=It, U=VIt, Q=CV and V=RI, where I denotes the electric current, t is time and U is energy.