Twelve wires of equal length and same cross-section are connected in the form of a cube. If the resistance of each of the wires is R, then the effective resistance between the two diagonal ends would be 

(1) 2R

(2) 12R

(3) 56R 

(4) 8R

Subtopic:  Combination of Resistors |
 85%
From NCERT
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You are given several identical resistances each of value R = 10 Ω and each capable of carrying maximum current of 1 ampere. It is required to make a suitable combination of these resistances to produce a resistance of 5 Ω which can carry a current of 4 amperes. The minimum number of resistances of the type R that will be required for this job 

(1) 4

(2) 10

(3) 8

(4) 20

Subtopic:  Combination of Resistors |
 64%
From NCERT
PMT - 1990
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The resistance of a wire is 10–6 Ω per metre. It is bend in the form of a circle of diameter 2 m. A wire of the same material is connected across its diameter. The total resistance across its diameter AB will be

(1) 43π×106Ω

(2) 23π×106Ω

(3) 0.88×106Ω

(4) 14π×106Ω

Subtopic:  Combination of Resistors |
 63%
From NCERT
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In the figure shown, the capacity of the condenser C is 2μF. The current in 2 Ω resistor is : 

(1) 9 A

(2) 0.9 A

(3) 19A

(4) 10.9A

Subtopic:  Combination of Resistors |
 78%
From NCERT
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When the key K is pressed at time t = 0, which of the following statements about the current I in the resistor AB of the given circuit is true?

(1) I = 2 mA at all t

(2) I oscillate between 1 mA and 2mA

(3) I = 1 mA at all t

(4) At t = 0 , I = 2 mA and with time it goes to 1 mA

Subtopic:  Kirchoff's Voltage Law |
 65%
PMT - 1995
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There are three resistance coils of equal resistance. The maximum number of resistances you can obtain by connecting them in any manner you choose, being free to use any number of the coils in any way is :

(1) 3

(2) 4

(3) 6

(4) 5

Subtopic:  Combination of Resistors |
From NCERT
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If in the circuit shown below, the internal resistance of the battery is 1.5 Ω and VP and VQ are the potentials at P and Q respectively, what is the potential difference between the points P and Q 

(1) Zero

(2) 4 volts (VP > VQ)

(3) 4 volts (VQ > VP)

(4) 2.5 volts (VQ > VP)

Subtopic:  Kirchoff's Voltage Law |
 58%
From NCERT
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Two wires of resistance R1 and R2 have temperature coefficient of resistance α1 and α2, respectively. These are joined in series. The effective temperature coefficient of resistance is :

(1) α1+α22

(2) α1α2

(3) α1R1+α2R2R1+R2

(4) R1R2α1α2R12+R22

Subtopic:  Combination of Resistors |
 74%
From NCERT
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Two cells of equal e.m.f. and of internal resistances, r1, and r2(r1>r2) are connected in series. On connecting this combination to an external resistance R, it is observed that the potential difference across the first cell becomes zero. The value of R will be :

(1) r1+r2

(2) r1r2

(3) r1+r22

(4) r1r22

Subtopic:  Grouping of Cells |
 71%
From NCERT
PMT - 2005
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When connected across the terminals of a cell, a voltmeter measures 5V and a connected ammeter measures 10 A of current. A resistance of 2 ohms is connected across the terminals of the cell. The current flowing through this resistance will be :

(1) 2.5 A

(2) 2.0 A

(3) 5.0 A

(4) 7.5 A

Subtopic:  Kirchoff's Voltage Law |
 58%
From NCERT
PMT - 1997
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