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Current Electricity · Question 16

JEE Main 2026 (Online) 24th January Evening ShiftMCQMedium📈 Topic in 29% papers+4−1
1

The reading of the ammeter (A) in steady state in the following circuit (assuming negligible internal resistance of the ammeter) is A. [figure]

  1. 1/2
  2. 1
  3. 2
  4. 0

Answer

(2) 1

Solution

In steady state the capacitor branch (10 μF in series with 8 Ω) carries no current.

Let P be the junction after the 1 resistor. The ideal ammeter joins the lower ends of all the 8 resistors to the negative terminal of the cell.

Right part: the two right 8 resistors are in parallel = 4 , in series with 4 8 from P to the bottom wire.

This is in parallel with the left 8 from P to the bottom wire:

RP = 8 88 + 8 = 4

Req = 1 + 4 = 5

I = 105 = 2 A

The current divides equally between the two 8 paths from P: 1 A each.

The current of the right path (through 4 ) returns to the cell only through the ammeter.

Ammeter reading = 1 A

Answer: (2)

JEE Main 2026 (Online) 24th January Evening Shift

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2

A regular hexagon is formed by six wires each of resistance r and the corners are joined to the centre by wires of same resistance. If the current enters at one corner and leaves at the opposite corner, the equivalent resistance of the hexagon between the two opposite corners will be

  1. 35r
  2. 45r
  3. 58r
  4. 34r
JEE Main 2026 (Online) 24th January Evening Shift
3

In a meter bridge experiment to determine the value of unknown resistance, first the resistances 2 and 3 are connected in the left and right gaps of the bridge and the null point is obtained at a distance l cm from the left. Now when an unknown resistance x is connected in parallel to 3 resistance, the null point is shifted by 10 cm to the right of wire. The value of unknown resistance x is .

JEE Main 2026 (Online) 24th January Evening Shift
4

A wire of uniform resistance /m is bent into a circle of radius r and another piece of wire with length 2r is connected between points A and B (AOB) as shown in figure. The equivalent resistance between points A and B is . [figure]

  1. ( + 1)2r
  2. 6 r3 + 16
  3. 3 r8
  4. 2 r
JEE Main 2026 (Online) 23rd January Morning Shift
5

A meter bridge with two resistances R1 and R2 as shown in figure was balanced (null point) at 40 cm from the point P. The null point changed to 50 cm from the point P, when 16 resistance is connected in parallel to R2. The values of resistances R1 and R2 are . [figure]

  1. R2 = 8 , R1 = 163
  2. R2 = 12 , R1 = 123
  3. R2 = 4 , R1 = 43
  4. R2 = 16 , R1 = 163
JEE Main 2026 (Online) 22nd January Morning Shift
6

An electric power line having total resistance of 2 , delivers 1 kW of power at 250 V. The percentage efficiency of transmission line is .

  1. 96.9
  2. 92.5
  3. 86.5
  4. 100
JEE Main 2026 (Online) 22nd January Evening Shift
7

A cylindrical conductor of length 2 m and area of cross-section 0.2 mm2 carries an electric current of 1.6 A when its ends are connected to a 2 V battery. Mobility of electrons in the conductor is 10-3 m2/V s. The value of is : (electron concentration = 5 1028 /m3 and electron charge = 1.6 10-19 C)

JEE Main 2026 (Online) 22nd January Evening Shift
8

The heat generated in 1 minute between points A and B in the given circuit, when a battery of 9 V with internal resistance of 1 is connected across these points is J. [figure]

JEE Main 2026 (Online) 21st January Morning Shift
9

Two known resistances of R and 2R and one unknown resistance X are connected in a circuit as shown in the figure. If the equivalent resistance between points A and B in the circuit is X , then the value of X is . [figure]

  1. 2( 3 - 1)R
  2. R
  3. ( 3 - 1)R
  4. ( 3 + 1)R
JEE Main 2026 (Online) 21st January Evening Shift
10

The total length of potentiometer wire AB is 50 cm in the arrangement as shown in the figure. If P is the point where the galvanometer shows zero reading then the length AP is cm. [figure]

  1. 25
  2. 30
  3. 15
  4. 20
JEE Main 2026 (Online) 21st January Evening Shift
11

A battery with EMF E and internal resistance r is connected across a resistance R. The power consumption in R will be maximum when:

  1. R = 2r
  2. R = 2r
  3. R = r2
  4. R = r
JEE Main 2026 (Online) 21st January Evening Shift

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