Current Electricity - Online Test

Q1. A battery is connected with a potentiometer wire. The internal resistance of the battery is negligible. If the length of the potentiometer wire of the same material and radius is doubled then
Answer : Option B
Explaination / Solution:

Potential gradient Is given by V/l. If V and l are constant, the potential gradient also remains constant. The change in the radius will cause a change in the current. This does not change the potential gradient.

Q2. A potential difference of 220 V is maintained across 12000 rheostat. Then voltmeter V has a resistance of 6000  and point C is at one fourth the distance from a to b. Then the reading of voltmeter is

Answer : Option B
Explaination / Solution:

Resistance R = 1/4R = 12000/4 = 3000 parallel. .

This is in series with Rbc.

The current in the circuit I = 220/11000 = 0.02A The reading of the voltmeter is the potential drop across Rp. V =  0.02 * 2000 = 40V

Q3. Figure shows current in a part of an electrical circuit. Then current I is

Answer : Option A
Explaination / Solution:

Using Kirchhoff’s junction rule at junction A,2 + 5 - 2 - 1 + IAB = 0;IAB = - 4A

The current IAB is directed away from the junction A. Using the junction rule at B 4 + 0.2 - 1.7 - I = 0;

I = 2.5A


Q4. Find the pd between A and B from the figure

Answer : Option A
Explaination / Solution:

The resistance in the arm CAD  RCAD = 4 + 6 = 10Omega .

The resistance in the arm CBD  RCBD = 6 + 4 = 10Omega

Since the resistances in both the arms are equal, the current splits equally in the arms.ICAD = ICBD = 4/2 = 2A.

The potential difference across A and C.VAC = VA - VC = ICAD * RAC = 2 * 4 = 8V

potential difference across B and C  VBC = VB - VC = ICBD * RBC = 2 * 6 = 12V.The potential difference across A and B  VBA = VB - VA = VBC - VAC = 12 - 8 = 4V.

Point B is at a higher potential when compared to A.


Q5. The figure shows an unbalanced Wheatstone bridge. To balance the bridge:

Answer : Option B
Explaination / Solution:

To balance bridge


So X = 90


Q6. A current is passed though two coils connected in series. The potential difference across the first coil of resistance 2 ohm is 5 volt. If the potential difference across the second coil is 12.5 volt the resistance of the second coil is
Answer : Option A
Explaination / Solution:

The current in the circuit 


V1 =5 V is the p.d across the first coil of resistance R1=2Ω. The same current flows through the second coil of resistance X. . The p.d across the second coil V2 =12.5 V.


Q7. In a meter bridge experiment a balance point is obtained at a distance of 60 cm from the left end when unknown resistance R is in a left gap and 8 ohms resistor is connected in the right gap. When the position of R and 8 ohm resistor is interchanged the balance point will be at distance of
Answer : Option A
Explaination / Solution:


The balance point when 8Ω is in the left gap will be 40 cm.


Q8. The Wheatstone bridge is balanced for four resistors R1,R2,R3 and R4 with a cell of emf 1.46 V. The cell is now replaced by another cell of emf 1.08 V. To obtain the balance again
Answer : Option D
Explaination / Solution:

The balance point of the Wheatstone’s bridge is determined by the ratio of the resistances. The change in the e m f of the external battery will have no effect on the balance point.

Q9. If the length of the filament of a heater is reduced by 10% the power of the heater will
Answer : Option B
Explaination / Solution:

The power is related to resistance as, 


So Power increases by 11%.


Q10. A Wheatstone bridge is balanced for four resistors R1, R2, R3 and R4 with a Lech lanche cell between A and C and a galvanometer between B and D. The positions of the cell and the galvanometer are interchanged. The balance will
Answer : Option A
Explaination / Solution:

The balance point will not change . For balancing of wheatstone bridge four arms of resistors are responsible. Interchange the position of galvanometer and cell does not affect balancing of wheatstone bridge.