Overview

A current through a wire-depends on time as

i = a₀t + bt²

Where a₀ = 20A/s and b = 8As^-2. Find the charge crossed through a section of the wire in 15s.

A cell E₁ of emf 6V and internal resistance $2\Omega$ is connected with another cell E₂ of emf 4V and internal resistance $8\Omega$  (as shown in the figure). The potential difference across points X and Y is:

In connection with the circuit drawn below, the value of current flowing through 2 $k\Omega$ resistor is________ * 10^-4A

A wire of $1\Omega$  has a length of 1m. It is stretched till its length increases by 25%. The percentage change in resistance to the nearest integer is:

In an electrical circuit, a battery is connected to pass 20 C of charge through it in a certain given time. The potential difference between two plates of the battery is maintained at 15V. The work done by the battery is--------- J.

Five equal resistances are connected in a network as shown in figure. The net resistance between  the points A and B is

A cylindrical wire of radius 0.5mm and conductivity 5 * 10⁷ S/m is subjected to an electric field of 10m V/m. The expected value of current in the wire will be x³πmA. The value of x is………………….

In the given circuit of potentiometer, the potential difference E across AB (10m length) is larger than E₁ and E₂ as well. For key K₁ (closed), the jokey is adjusted to touch the wire at point J₁ so that there is no deflection in the galvanometer. Now the first battery (E₁) is replaced by second battery (E₂) for working by making K₁ open and K₂ closed. The galvanometer gives then null deflection at J₂. The value of   $\frac{E_1}{E_2}is\frac{a}{b},$ where a = …………….

A current of 6 A enters one corner P of an equilateral triangle PQR having 3 wires of resistance $2\Omega$  each and leaves by the corner R. The currents i₁ in ampere is………

Two heaters $A$ and $B$  have power rating of 1 kW and 2 kW, respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is: