Current Electricity Questions and Answers Part-19

1. Effective resistance between A and B is
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a) 15 Ω
b) 5 Ω
c) \[\frac{5}{2}\] Ω
d) 20 Ω

Answer: b
Explanation: The given figure is balance wheat stone bridge.

2.The effective resistance of two resistors in parallel is \[\frac{12}{7}\] Ω  . If one of the resistors is disconnected the resistance becomes 4 Ω . The resistance of the other resistor is
a) 4 Ω
b) 3 Ω
c) \[\frac{12}{7}\] Ω
d) \[\frac{7}{12}\] Ω

Answer: b
Explanation:
q182

3.Two resistance wires on joining in parallel the resultant resistance is \[\frac{6}{5}ohms\]   . One of the wire breaks, the effective resistance is 2 ohms. The resistance of the broken wire is
a) \[\frac{3}{5}ohm\]
b) 2 ohm
c) \[\frac{6}{5}ohm\]
d) 3 ohm

Answer: d
Explanation:
q183

4. Three resistors are connected to form the sides of a triangle ABC, the resistance of the sides AB, BC and CA are 40 ohms, 60 ohms and 100 ohms respectively. The effective resistance between the points A and B in ohms will be
a) 32
b) 64
c) 50
d) 200

Answer: a
Explanation:
q184

5. Find the equivalent resistance across AB
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a) 1 Ω
b) 2 Ω
c) 3 Ω
d) 4 Ω

Answer: a
Explanation:
q185

6.The equivalent resistance between x and y in the circuit shown is
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a) 10 Ω
b) 40 Ω
c) 20 Ω
d) \[\frac{5}{2}\] Ω

Answer: a
Explanation: Given circuit is a balance Wheatstone bridge circuit.

7. The equivalent resistance between the points P and Q of the circuit given is
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a) \[\frac{R}{4}\]
b) \[\frac{R}{3}\]
c) 4 R
d) 2 R

Answer: b
Explanation:
q187

8. Two wires of the same dimensions but resistivities \[\rho_{1}\] and \[\rho_{2}\] are connected in series. The equivalent resistivity of the combination is
a) \[\rho_{1}+ \rho_{2}\]
b) \[\frac{\rho_{1}+ \rho_{2}}{2}\]
c) \[\sqrt{\rho_{1} \rho_{2}}\]
d) \[2\left(\rho_{1}+ \rho_{2}\right)\]

Answer: b
Explanation:
q188

9.Three unequal resistors in parallel are equivalent to a resistance 1 ohm. If two of them are in the ratio 1 : 2 and if no resistance value is fractional, the largest of the three resistances in ohms is
a) 4
b) 6
c) 8
d) 12

Answer: b
Explanation:
q189

10. A 3 volt battery with negligible internal resistance is connected in a circuit as shown in the figure. The current I, in the circuit will be
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a) 1/3 A
b) 1 A
c) 1.5 A
d) 2 A

Answer: c
Explanation:
q190