OHM'SLAW AND COMBINATION OF RESISTANCES
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Current Electricity

268436 The equivalent resistance between points \(A\) and \(B\) of an infinite network of resistanceeach of \(1_{\Omega}\) connected as shown is

1 \(\frac{1+\sqrt{5}}{2}\)
2 \(\frac{2+\sqrt{5}}{4}\)
3 \(\frac{3+\sqrt{5}}{2}\)
4 \(\frac{1+\sqrt{7}}{3}\)
Current Electricity

268437 Equivalent resistance across \(A\) and \(B\) in the given circuit is

1 \(\frac{2 r}{7 r}\)
2 \(\frac{8 r}{7}\)
3 \(\frac{7^3 r}{7}\)
4 \(6 r\)
Current Electricity

268438 Two resistances of \(400 \Omega\) and \(800 \Omega\) are connected in series with \(6 \mathrm{~V}\) battery of negligible internal resistance. A voltmeter of resistance \(10,000 \Omega\) is used to measure the p.d. across \(400 \Omega\). The error in the measurement of p.d. in volts approximately

1 \(0.05 \mathrm{~V}\)
2 \(0.5 \mathrm{~V}\)
3 \(0.75 \mathrm{~V}\)
4 \(5 \mathrm{~V}\)
Current Electricity

268439 Copper and carbon wires are connected in series and the combined resistor is kept at \(0^{\circ} \mathrm{C}\). Assuming the combined resistane does not vary with temperature, the ratio of the resistances of carbon and copper wires at \(0^{\circ} \mathrm{C}\) is (Temperature coefficients ofresisti-vity of copper and carbon respectively are \(4 \times 10^{-3} /\) \({ }^{\circ} \mathrm{C}\) and \(\left.-0.5 \times 10^{-3} /{ }^{\circ} \mathrm{C}\right)(\mathrm{M}\)-2013)

1 2
2 4
3 8
4 6
Current Electricity

268440 Three resistances of equal values are arranged in four different configurations as shown below. Power dissipation in the increasing order is (E-2012)

1 (III) \(<\) (II) \(<\) (IV) \(<\) (I)
2 \((I I) \leftharpoonup(I I I) \triangleleft\) IV) \()(I)\)
3 (I) \(<\) (IV) \(<\) (III) \(<\) (II)
4 (I) \(\langle\) (III)<(II)<(IV)
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Current Electricity

268436 The equivalent resistance between points \(A\) and \(B\) of an infinite network of resistanceeach of \(1_{\Omega}\) connected as shown is

1 \(\frac{1+\sqrt{5}}{2}\)
2 \(\frac{2+\sqrt{5}}{4}\)
3 \(\frac{3+\sqrt{5}}{2}\)
4 \(\frac{1+\sqrt{7}}{3}\)
Current Electricity

268437 Equivalent resistance across \(A\) and \(B\) in the given circuit is

1 \(\frac{2 r}{7 r}\)
2 \(\frac{8 r}{7}\)
3 \(\frac{7^3 r}{7}\)
4 \(6 r\)
Current Electricity

268438 Two resistances of \(400 \Omega\) and \(800 \Omega\) are connected in series with \(6 \mathrm{~V}\) battery of negligible internal resistance. A voltmeter of resistance \(10,000 \Omega\) is used to measure the p.d. across \(400 \Omega\). The error in the measurement of p.d. in volts approximately

1 \(0.05 \mathrm{~V}\)
2 \(0.5 \mathrm{~V}\)
3 \(0.75 \mathrm{~V}\)
4 \(5 \mathrm{~V}\)
Current Electricity

268439 Copper and carbon wires are connected in series and the combined resistor is kept at \(0^{\circ} \mathrm{C}\). Assuming the combined resistane does not vary with temperature, the ratio of the resistances of carbon and copper wires at \(0^{\circ} \mathrm{C}\) is (Temperature coefficients ofresisti-vity of copper and carbon respectively are \(4 \times 10^{-3} /\) \({ }^{\circ} \mathrm{C}\) and \(\left.-0.5 \times 10^{-3} /{ }^{\circ} \mathrm{C}\right)(\mathrm{M}\)-2013)

1 2
2 4
3 8
4 6
Current Electricity

268440 Three resistances of equal values are arranged in four different configurations as shown below. Power dissipation in the increasing order is (E-2012)

1 (III) \(<\) (II) \(<\) (IV) \(<\) (I)
2 \((I I) \leftharpoonup(I I I) \triangleleft\) IV) \()(I)\)
3 (I) \(<\) (IV) \(<\) (III) \(<\) (II)
4 (I) \(\langle\) (III)<(II)<(IV)
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Current Electricity

268436 The equivalent resistance between points \(A\) and \(B\) of an infinite network of resistanceeach of \(1_{\Omega}\) connected as shown is

1 \(\frac{1+\sqrt{5}}{2}\)
2 \(\frac{2+\sqrt{5}}{4}\)
3 \(\frac{3+\sqrt{5}}{2}\)
4 \(\frac{1+\sqrt{7}}{3}\)
Current Electricity

268437 Equivalent resistance across \(A\) and \(B\) in the given circuit is

1 \(\frac{2 r}{7 r}\)
2 \(\frac{8 r}{7}\)
3 \(\frac{7^3 r}{7}\)
4 \(6 r\)
Current Electricity

268438 Two resistances of \(400 \Omega\) and \(800 \Omega\) are connected in series with \(6 \mathrm{~V}\) battery of negligible internal resistance. A voltmeter of resistance \(10,000 \Omega\) is used to measure the p.d. across \(400 \Omega\). The error in the measurement of p.d. in volts approximately

1 \(0.05 \mathrm{~V}\)
2 \(0.5 \mathrm{~V}\)
3 \(0.75 \mathrm{~V}\)
4 \(5 \mathrm{~V}\)
Current Electricity

268439 Copper and carbon wires are connected in series and the combined resistor is kept at \(0^{\circ} \mathrm{C}\). Assuming the combined resistane does not vary with temperature, the ratio of the resistances of carbon and copper wires at \(0^{\circ} \mathrm{C}\) is (Temperature coefficients ofresisti-vity of copper and carbon respectively are \(4 \times 10^{-3} /\) \({ }^{\circ} \mathrm{C}\) and \(\left.-0.5 \times 10^{-3} /{ }^{\circ} \mathrm{C}\right)(\mathrm{M}\)-2013)

1 2
2 4
3 8
4 6
Current Electricity

268440 Three resistances of equal values are arranged in four different configurations as shown below. Power dissipation in the increasing order is (E-2012)

1 (III) \(<\) (II) \(<\) (IV) \(<\) (I)
2 \((I I) \leftharpoonup(I I I) \triangleleft\) IV) \()(I)\)
3 (I) \(<\) (IV) \(<\) (III) \(<\) (II)
4 (I) \(\langle\) (III)<(II)<(IV)
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Current Electricity

268436 The equivalent resistance between points \(A\) and \(B\) of an infinite network of resistanceeach of \(1_{\Omega}\) connected as shown is

1 \(\frac{1+\sqrt{5}}{2}\)
2 \(\frac{2+\sqrt{5}}{4}\)
3 \(\frac{3+\sqrt{5}}{2}\)
4 \(\frac{1+\sqrt{7}}{3}\)
Current Electricity

268437 Equivalent resistance across \(A\) and \(B\) in the given circuit is

1 \(\frac{2 r}{7 r}\)
2 \(\frac{8 r}{7}\)
3 \(\frac{7^3 r}{7}\)
4 \(6 r\)
Current Electricity

268438 Two resistances of \(400 \Omega\) and \(800 \Omega\) are connected in series with \(6 \mathrm{~V}\) battery of negligible internal resistance. A voltmeter of resistance \(10,000 \Omega\) is used to measure the p.d. across \(400 \Omega\). The error in the measurement of p.d. in volts approximately

1 \(0.05 \mathrm{~V}\)
2 \(0.5 \mathrm{~V}\)
3 \(0.75 \mathrm{~V}\)
4 \(5 \mathrm{~V}\)
Current Electricity

268439 Copper and carbon wires are connected in series and the combined resistor is kept at \(0^{\circ} \mathrm{C}\). Assuming the combined resistane does not vary with temperature, the ratio of the resistances of carbon and copper wires at \(0^{\circ} \mathrm{C}\) is (Temperature coefficients ofresisti-vity of copper and carbon respectively are \(4 \times 10^{-3} /\) \({ }^{\circ} \mathrm{C}\) and \(\left.-0.5 \times 10^{-3} /{ }^{\circ} \mathrm{C}\right)(\mathrm{M}\)-2013)

1 2
2 4
3 8
4 6
Current Electricity

268440 Three resistances of equal values are arranged in four different configurations as shown below. Power dissipation in the increasing order is (E-2012)

1 (III) \(<\) (II) \(<\) (IV) \(<\) (I)
2 \((I I) \leftharpoonup(I I I) \triangleleft\) IV) \()(I)\)
3 (I) \(<\) (IV) \(<\) (III) \(<\) (II)
4 (I) \(\langle\) (III)<(II)<(IV)
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Current Electricity

268436 The equivalent resistance between points \(A\) and \(B\) of an infinite network of resistanceeach of \(1_{\Omega}\) connected as shown is

1 \(\frac{1+\sqrt{5}}{2}\)
2 \(\frac{2+\sqrt{5}}{4}\)
3 \(\frac{3+\sqrt{5}}{2}\)
4 \(\frac{1+\sqrt{7}}{3}\)
Current Electricity

268437 Equivalent resistance across \(A\) and \(B\) in the given circuit is

1 \(\frac{2 r}{7 r}\)
2 \(\frac{8 r}{7}\)
3 \(\frac{7^3 r}{7}\)
4 \(6 r\)
Current Electricity

268438 Two resistances of \(400 \Omega\) and \(800 \Omega\) are connected in series with \(6 \mathrm{~V}\) battery of negligible internal resistance. A voltmeter of resistance \(10,000 \Omega\) is used to measure the p.d. across \(400 \Omega\). The error in the measurement of p.d. in volts approximately

1 \(0.05 \mathrm{~V}\)
2 \(0.5 \mathrm{~V}\)
3 \(0.75 \mathrm{~V}\)
4 \(5 \mathrm{~V}\)
Current Electricity

268439 Copper and carbon wires are connected in series and the combined resistor is kept at \(0^{\circ} \mathrm{C}\). Assuming the combined resistane does not vary with temperature, the ratio of the resistances of carbon and copper wires at \(0^{\circ} \mathrm{C}\) is (Temperature coefficients ofresisti-vity of copper and carbon respectively are \(4 \times 10^{-3} /\) \({ }^{\circ} \mathrm{C}\) and \(\left.-0.5 \times 10^{-3} /{ }^{\circ} \mathrm{C}\right)(\mathrm{M}\)-2013)

1 2
2 4
3 8
4 6
Current Electricity

268440 Three resistances of equal values are arranged in four different configurations as shown below. Power dissipation in the increasing order is (E-2012)

1 (III) \(<\) (II) \(<\) (IV) \(<\) (I)
2 \((I I) \leftharpoonup(I I I) \triangleleft\) IV) \()(I)\)
3 (I) \(<\) (IV) \(<\) (III) \(<\) (II)
4 (I) \(\langle\) (III)<(II)<(IV)