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

Concept Questions :-

Combination of resistors
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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

Concept Questions :-

Kirchoff's voltage law
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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

Concept Questions :-

Kirchoff's voltage law
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A torch bulb rated as 4.5 W, 1.5 V is connected as shown in the figure. The e.m.f. of the cell needed to make the bulb glow at full intensity is :

(1) 4.5 V

(2) 1.5 V

(3) 2.67 V

(4) 13.5 V

Concept Questions :-

Heating effect of current
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In the circuit shown in the figure, the current through :

1. The 3Ω resistor is 0.50A

2. The 3Ω resistor is 0.25 A

3. The 4Ω resistor is 0.50A

4. The 4Ω resistor is 0.25 A

Concept Questions :-

Combination of resistors
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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

Concept Questions :-

Combination of resistors
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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)

Concept Questions :-

Kirchoff's voltage law
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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

Concept Questions :-

Combination of resistors
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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

Concept Questions :-

Grouping of cells
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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

Concept Questions :-

Kirchoff's voltage law
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Difficulty Level: