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Current Electricity · Question 3

JEE Main 2026 (Online) 6th April Evening ShiftNumericalMedium📈 Topic in 13% papers+4
1

Two cells of emfs 1 V and 2 V and internal resistance 2 and 1 , respectively connected in parallel, gave a current of 1 A through an external resistance. If the polarity of one cell is reversed, then value of current through the external resistance will be 5 A. The value of is .

Answer

3

Solution

[figure]

Two cells in parallel: Eeq= E1/r1+E2/r21/r1+1/r2, req= r1r2r1+r2

Same polarity: Eeq= 12+ 21 12+1= 53 V, req= 2 12+1= 23

I= EeqR+req ⇒ 1= 5/3R+2/3 ⇒ R=1

1 V cell reversed: E'eq= - 12+2 32=1 V; req= 23 (unchanged)

(Reversing the 2 V cell instead gives E'eq=-1 V: same magnitude.)

I'= 11+ 23= 35 A

∴ 5= 35 ⇒ =3

Answer: 3

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2

Refer to the figure given below. The values of I1, I2 and I3 are . [figure]

  1. I1=2.5 A, I2=1.875 A, I3=1.875 A
  2. I1=1.875 A, I2=2.5 A, I3=1.875 A
  3. I1=1.875 A, I2=1.875 A, I3=2.5 A
  4. I1=2.5 A, I2=2.5 A, I3=1.875 A
JEE Main 2026 (Online) 5th April Morning Shift
3

Refer to the figure given below, current between terminals A and B is A. [figure]

  1. 12.5
  2. 1.25
  3. 7.5
  4. 5
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4

Under steady state condition the potential difference across the capacitor in the circuit is V. [figure]

  1. 0.5
  2. 1.5
  3. 0
  4. 2
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5

When an external resistance of 5 is connected across terminals of a cell, a current of 0.25 A flows through it. When the 5 resistor is replaced by a 2 resistor, a current of 0.5 A flows through it. The internal resistance of the cell is .

JEE Main 2026 (Online) 5th April Evening Shift
6

The voltage and the current between A and B points shown in the circuit are . [figure]

  1. 24 V, 12 A
  2. 24 V, 4 A
  3. 18 V, 12 A
  4. 27 V, 4 A
JEE Main 2026 (Online) 4th April Morning Shift
7

Two resistors of 200 Ω and 400 Ω are connected in series with a battery of 100 V. A bulb rated at 200 V, 100 W is connected across the 400 Ω resistance. The potential drop across the bulb is V.

  1. 25
  2. 50
  3. 66.6
  4. 100
JEE Main 2026 (Online) 2nd April Evening Shift
8

For the two cells having same EMF E and internal resistance r, the current passing through the external resistor 6 is same when both the cells are connected either in parallel or in series. The value of internal resistance r is .

  1. 3
  2. 6
  3. 4
  4. 9
JEE Main 2026 (Online) 28th January Morning Shift
9

In the potentiometer, when the cell in the secondary circuit is shunted with 4 resistance, the balance is obtained at the length 120 cm of wire. Now when the same cell is shunted with 12 resistance, the balance is shifted to a length of 180 cm. The internal resistance of cell is

  1. 4
  2. 12
  3. 6
  4. 3
JEE Main 2026 (Online) 28th January Morning Shift
10

The equivalent resistance between the points A and B in the following circuit is x5 . The value of x is . [figure]

JEE Main 2026 (Online) 28th January Morning Shift
11

A Wheatstone bridge is initially at room temperature and all arms of the bridge have same value of resistances (R1 = R2 = R3 = R4). When R3 resistance is heated to some temperature, its resistance value has gone up by 10%. The potential difference (Va - Vb) (after R3 is heated) is V. [figure]

  1. 1.05
  2. 0.95
  3. 0
  4. 2
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