Current Electricity Questions and Answers Part-18

1. If all the resistors shown have the value 2 ohm each, the equivalent resistance over AB is
171
a) 2 ohm
b) 4 ohm
c) \[1\frac{2}{3}ohm\]
d) \[2\frac{2}{3}ohm\]

Answer: d
Explanation:
q171

2. A battery of emf 10 V and internal resistance 3 Ω is connected to a resistor as shown in the figure. If the current in the circuit is 0.5 A. then the resistance of the resistor will be
172
a) 19 Ω
b) 17 Ω
c) 12 Ω
d) 10 Ω

Answer: b
Explanation:
q172

3.The potential drop across the 3 Ω resistor is
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a) 1 V
b) 1.5 V
c) 2 V
d) 3 V

Answer: a
Explanation:
q173

4. Two wires of equal diameters, of resistivities \[\rho_{1}and \rho_{2}\] and lengths l1 and l2, respectively, are joined in series. The equivalent resistivity of the combination is
a) \[\frac{\rho_{1}l_{1}+\rho_{2}l_{2}}{l_{1}+l_{2}}\]
b) \[\frac{\rho_{1}l_{2}+\rho_{2}l_{1}}{l_{1}-l_{2}}\]
c) \[\frac{\rho_{1}l_{2}+\rho_{2}l_{1}}{l_{1}+l_{2}}\]
d) \[\frac{\rho_{1}l_{1}-\rho_{2}l_{2}}{l_{1}-l_{2}}\]

Answer: a
Explanation:
q174

5. Four resistances of 100 Ω each are connected in the form of square. Then, the effective resistance along the diagonal points is
a) 200 Ω
b) 400 Ω
c) 100 Ω
d) 150 Ω

Answer: c
Explanation:
q175

6.Equivalent resistance between the points A and B is ( in Ω )
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a) \[\frac{1}{5}\]
b) \[1\frac{1}{4}\]
c) \[2\frac{1}{3}\]
d) \[3\frac{1}{2}\]

Answer: c
Explanation:
q176

7. Two wires of the same material and equal length are joined in parallel combination. If one of them has half the thickness of the other and the thinner wire has a resistance of 8 ohms, the resistance of the combination is equal to
a) \[\frac{5}{8}ohms \]
b) \[\frac{8}{5}ohms \]
c) \[\frac{3}{8}ohms \]
d) \[\frac{8}{3}ohms \]

Answer: b
Explanation:
q177

8. In the circuit shown here, what is the value of the unknown resistor R so that the total resistance of the circuit between points P and Q is also equal to R
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a) 3 ohms
b) \[\sqrt{39}\]  ohms
c) \[\sqrt{69}\]  ohms
d) 10 ohms

Answer: c
Explanation:
q178
q178a

9. A uniform wire of resistance 9 Ω is cut into 3 equal parts. They are connected in the form of equilateral triangle ABC. A cell of e.m.f. 2 V and negligible internal resistance is connected across B and C. Potential difference across AB is
a) 1 V
b) 2 V
c) 3 V
d) 0.5 V

Answer: a
Explanation:
q179
q179a

10. The resistors of resistances 2 Ω , 4 Ω and 8 Ω are connected in parallel, then the equivalent resistance of the combination will be
a) \[\frac{8}{7}\] Ω
b) \[\frac{7}{8}\] Ω
c) \[\frac{7}{4}\] Ω
d) \[\frac{4}{9}\] Ω

Answer: a
Explanation:
q180