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Current Electricity Quiz

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Question 1

Two batteries of emf E₁ and E₂, a capacitor of capacitance C, and a resistor R are connected in a circuit as shown in figure. Then, the amount of heat Q liberated in the resistor after switching the key K will be

Question 2

Calculate the drift velocity of electrons in silver wire with cross-sectional area 3.14 × 10^–6 m² carrying a current of 20 A. Given atomic weight of Ag = 108, density of silver = 10.5 × 10³ kg/m³.

Question 3

Two resistances having equal resistance at 0 ° C and with temperature coefficient of resistance α₁and α₂joined in series, act as a single resistance in a circuit. The temperature coefficient of their combined single resistance will be:

Question 4

The current density varies with radial distance r as J = ar^2, in a cylindrical wire of radius R. The current passing through the wire between radial distance R/3 and R/2 is:

Question 5

In the circuit shown, for what value of R, will the ideal battery transfer energy at the rate of 60 W ?

Question 6

A moving coil galvanometer of resistance 100 Ω is used as an ammeter using a resistance 0.1 Ω. The maximum deflection current in the galvanometer is 100 μA. Find the minimum current in the circuit so that the ammeter shows maximum deflection.

Question 7

The charge flowing through a resistance R varies with time t as Q = at – bt². The total heat produced in R by the time current ceases is-

Question 8

In the circuit shown in the figure, find the current in 45 Ω.

Question 9

A meter bridge with two resistances connected in the two gaps has a balance point at 40 cm. If a resistance 10 Ω is connected in series with the smaller resistor, the balance point shifts by 20 cm. neglecting any corrections, the larger resistance is

Question 10

In a potentiometer experiment, two cells connected in series get balanced at 9 cm length on the wire. Now the connections of terminals of the cell of lower emf are reversed, then the balancing length is obtained at 3 cm. The ratio of emf’s of two cells will be

Question 11

In the circuit shown in the figure, key is open. The charge on capacitor C in steady state is

. Now key is closed and at steady state charge on C is

. The ratio of charges

and

Question 12

The time constant of charging of the circuit shown in the figure

Question 13

The value of current through the 20 Ω resistor is

Question 14

The mass of a product liberated on anode in an electrochemical cell depends on:
(where t is the time period for which the current is passed)

Question 15

An ideal cell of 35 V and a cell of 20 V having internal resistance 4 ohms are connected in parallel to each other between points A and B, the equivalent emf between A and B is

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Sep 25JEE & BITSAT