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Revision Quiz on Current Electricity

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Question 1

The length of a wire of a potentiometer is 100 cm, and the e.m.f. of its stand and cell is E volt. It is employed to measure the e.m.f. of a battery whose internal resistance is 0.5 Ω. If the balance point is obtained at λ =30 cm from the positive end, the e.m.f. of the battery is

Question 2

The equation for an instantaneous current in a material is given by i = 5e^–t A. Calculate the amount of total charge flown through the material during the time interval t₁ = 0 s to t₂ = ∞ s –

Question 3

A current of 5A exists in a 10 Ω resistance for 4 minutes. The number of electrons and charge in coulombs passing through any section of the resistor in this time are -

Question 4

Two identical cells of emf E and internal resistance r are connected in parallel with an external resistance R. To get maximum power developed across R, the value of R is

Question 5

In the circuit shown below (on the left) the resistance and the emf source are both variable. The graph of seven readings of the voltmeter and the ammeter (V and I, respectively) for different settings of resistance and the emf, taken at equal intervals of time Δt, are shown (on the right) by the dots connected by the curve EFGH. Consider the internal resistance of the battery to be negligible and the voltmeter and ammeter to be ideal devices. Take

Then the plot of the resistance as a function of time corresponding to the curve EFGH is given by

Question 6

In the electric network shown, when no current flows through the

resistor in the arm EB, the potential difference (in Volt) between the points A and D will be:

Question 7

A light bulb of resistance R = 16

is attached in series with an infinite resistor network with identical resistances r as shown below. A 10 V battery drives current in the circuit. What should be the value of r such that the bulb dissipates about 1 W of power.

Question 8

A metal wire of circular cross-section has a resistance R₁. The wire is now stretched without breaking so that its length is doubled and the density is assumed to remain the same. If the resistance of the wire now becomes R₂ than R₂ : R₁ is

Question 9

Charge passing through a conductor of cross section area A = 0.3 m² is given by q = 3t² + 5t + 2 in coulomb, where t is in second. What is the value of drift velocity at t = 2s ? (Given, n = 2 × 10²⁵/m³)

Question 10

What will be the power dissipated through the resistance R if the current flowing through the circuit is 5 Amp? Assume the internal resistance of the battery is negligible.

Question 11

The number of turns in primary and secondary coils of a transformer is 50 and 200 respectively. IF the currents in the primary coil is 4 A, then the current in the secondary coil is

Question 12

Three conductors draw currents of 1 A, 2 A and 3 A respectively, when connected in turn across a battery. If they are connected in series and the combination is connected across the same battery, the current drawn will be

Question 13

What amount of heat will be generated in a coil of resistance R due to a charge q passing through it, if the current in the coil decreases down to zero uniformly during a time interval Δt?

Question 14

How much (in percent) has a filament radius decreased due to evaporation if the maintenance of the previous temperature required an increase of the voltage by

. The amount of heat transferred from the filament into surrounding space is assumed to be proportional to the filament surface area.

Question 15

A boy is doing a meter bridge experiment and he get the null point at 25cm when the resistance X is balanced against another unknown resistance Y. The lab assistant told him that X<Y. Then, what will be the new position of the null point if he decides to balance a resistance of 5X against Y?
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Nov 14JEE & BITSAT