The effective resistance between points P and Q of the electrical circuit shown in the figure is 

(1) 2Rr/(R+r)

(2) 8R(R+r)/(3R+r)

(3) 2r+4R

(4) 5R/2  +2r

Concept Questions :-

Combination of resistors
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In the circuit element given here, if the potential at point B, VB = 0, then the potentials of A and D are given as 

(1) VA=1.5V,VD=+2V

(2) VA=+1.5V,VD=+2V

(3) VA=+1.5V,VD=+0.5V

(4) VA=+1.5V,VD=0.5V

Concept Questions :-

Kirchoff's voltage law
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The current in a conductor varies with time t as I=2t+3t2 where I is in ampere and t in seconds. The electric charge flowing through a section of the conductor during t = 2 sec to t = 3 sec is :

(1) 10 C

(2) 24 C

(3) 33 C

(4) 44 C

Concept Questions :-

Current and current density
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A group of N cells whose emf varies directly with the internal resistance as per the equation EN = 1.5 rN are connected as shown in the figure below. The current I in the circuit is 

1. 0.51 A

2. 5.1 A

3. 0.15 A

4. 1.5 A

Concept Questions :-

Grouping of cells
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In the shown arrangement of the experiment of the meter bridge if AC corresponding to null deflection of galvanometer is x, what would be its value if the radius of the wire AB is doubled 

(1) x

(2) x/4

(3) 4x

(4) 2x

Concept Questions :-

Meter bridge and potentiometer
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Seven resistances are connected as shown in the figure. The equivalent resistance between A and B is 

(1) 3 Ω

(2) 4 Ω

(3) 4.5 Ω

(4) 5 Ω

Concept Questions :-

Combination of resistors
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A battery of internal resistance 4Ω is connected to the network of resistances as shown. In order to give the maximum power to the network, the value of R (in Ω) should be :

(1) 4/9

(2) 8/9

(3) 2

(4) 18

Concept Questions :-

Combination of resistors
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In the circuit shown here, the readings of the ammeter and voltmeter are [Kerala PMT 2002]

(1) 6 A, 60 V

(2) 0.6 A, 6 V

(3) 6/11 A, 60/11 V

(4) 11/6 A, 11/60 V

Concept Questions :-

Kirchoff's voltage law
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Length of a hollow tube is 5m, it’s outer diameter is 10 cm and thickness of it’s wall is 5 mm. If the resistivity of the material of the tube is 1.7 × 10–8 Ω×m then the resistance of the tube will be :

(1) 5.6 × 10–5 Ω

(2) 2 × 10–5 Ω

(3) 4 × 10–5 Ω

(4) None of these

Concept Questions :-

Derivation of Ohm's law
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A wire of resistor R is bent into a circular ring of radius r. Equivalent resistance between two points X and Y on its circumference, when angle XOY is α, can be given by

(1) Rα4π2(2πα)

(2) R2π(2πα)

(3) R (2πα)

(4) 4πRα(2πα)

Concept Questions :-

Combination of resistors
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