OHM'SLAW AND COMBINATION OF RESISTANCES
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Current Electricity

268441 If \(400 \Omega\) of resistance is made by adding four \(100 \Omega\) resistances of tolerance \(5 \%\), then the tolerance of the combination is [M ains-2011]

1 \(5 \%\)
2 \(10 \%\)
3 \(15 \%\)
4 \(20 \%\)
Current Electricity

268471 Four resistances \(10_{\Omega}, 5_{\Omega}, 7_{\Omega}\) and \(3 \Omega\) are connected so that they form the sides of a rectangle \(A B, B C, C D\) and \(D A\) respectively. Another resistance of \(10 \Omega\) is connected across the diagonal \(A C\). The equivalent resistance between \(A\) and \(B\) is

1 \(2 \Omega\)
2 \(5 \Omega\)
3 \(7 \Omega\)
4 \(10 \Omega\)
Current Electricity

268472 A\(3 \Omega\) resistor and a \(6 \Omega\) resistor are connected in parallel and the combination is connected in series to a battery of \(5 \mathrm{~V}\) and a \(3_{\Omega}\) resistor. The potential difference across the \(6 \Omega\) resistor

1 \(2 \mathrm{~V}\)
2 \(4 \mathrm{~V}\)
3 \(3 \mathrm{~V}\)
4 \(1 \mathrm{~V}\)
Current Electricity

268473 You are given a wire of length\(100 \mathrm{~cm}\) and linear resistance of \(1 \mathrm{ohm} / \mathrm{cm}\). If it is cut into two parts, so that when they are in parallel, the effective resistance is 24 ohm. The lengths of the two parts are

1 \(30 \mathrm{~cm} \& 70 \mathrm{~cm}\)
2 \(60 \mathrm{~cm} \& 40 \mathrm{~cm}\)
3 \(70 \mathrm{~cm} \& 30 \mathrm{~cm}\)
4 \(20 \mathrm{~cm} \& 80 \mathrm{~cm}\)
Current Electricity

268441 If \(400 \Omega\) of resistance is made by adding four \(100 \Omega\) resistances of tolerance \(5 \%\), then the tolerance of the combination is [M ains-2011]

1 \(5 \%\)
2 \(10 \%\)
3 \(15 \%\)
4 \(20 \%\)
Current Electricity

268471 Four resistances \(10_{\Omega}, 5_{\Omega}, 7_{\Omega}\) and \(3 \Omega\) are connected so that they form the sides of a rectangle \(A B, B C, C D\) and \(D A\) respectively. Another resistance of \(10 \Omega\) is connected across the diagonal \(A C\). The equivalent resistance between \(A\) and \(B\) is

1 \(2 \Omega\)
2 \(5 \Omega\)
3 \(7 \Omega\)
4 \(10 \Omega\)
Current Electricity

268472 A\(3 \Omega\) resistor and a \(6 \Omega\) resistor are connected in parallel and the combination is connected in series to a battery of \(5 \mathrm{~V}\) and a \(3_{\Omega}\) resistor. The potential difference across the \(6 \Omega\) resistor

1 \(2 \mathrm{~V}\)
2 \(4 \mathrm{~V}\)
3 \(3 \mathrm{~V}\)
4 \(1 \mathrm{~V}\)
Current Electricity

268473 You are given a wire of length\(100 \mathrm{~cm}\) and linear resistance of \(1 \mathrm{ohm} / \mathrm{cm}\). If it is cut into two parts, so that when they are in parallel, the effective resistance is 24 ohm. The lengths of the two parts are

1 \(30 \mathrm{~cm} \& 70 \mathrm{~cm}\)
2 \(60 \mathrm{~cm} \& 40 \mathrm{~cm}\)
3 \(70 \mathrm{~cm} \& 30 \mathrm{~cm}\)
4 \(20 \mathrm{~cm} \& 80 \mathrm{~cm}\)
Current Electricity

268441 If \(400 \Omega\) of resistance is made by adding four \(100 \Omega\) resistances of tolerance \(5 \%\), then the tolerance of the combination is [M ains-2011]

1 \(5 \%\)
2 \(10 \%\)
3 \(15 \%\)
4 \(20 \%\)
Current Electricity

268471 Four resistances \(10_{\Omega}, 5_{\Omega}, 7_{\Omega}\) and \(3 \Omega\) are connected so that they form the sides of a rectangle \(A B, B C, C D\) and \(D A\) respectively. Another resistance of \(10 \Omega\) is connected across the diagonal \(A C\). The equivalent resistance between \(A\) and \(B\) is

1 \(2 \Omega\)
2 \(5 \Omega\)
3 \(7 \Omega\)
4 \(10 \Omega\)
Current Electricity

268472 A\(3 \Omega\) resistor and a \(6 \Omega\) resistor are connected in parallel and the combination is connected in series to a battery of \(5 \mathrm{~V}\) and a \(3_{\Omega}\) resistor. The potential difference across the \(6 \Omega\) resistor

1 \(2 \mathrm{~V}\)
2 \(4 \mathrm{~V}\)
3 \(3 \mathrm{~V}\)
4 \(1 \mathrm{~V}\)
Current Electricity

268473 You are given a wire of length\(100 \mathrm{~cm}\) and linear resistance of \(1 \mathrm{ohm} / \mathrm{cm}\). If it is cut into two parts, so that when they are in parallel, the effective resistance is 24 ohm. The lengths of the two parts are

1 \(30 \mathrm{~cm} \& 70 \mathrm{~cm}\)
2 \(60 \mathrm{~cm} \& 40 \mathrm{~cm}\)
3 \(70 \mathrm{~cm} \& 30 \mathrm{~cm}\)
4 \(20 \mathrm{~cm} \& 80 \mathrm{~cm}\)
Current Electricity

268441 If \(400 \Omega\) of resistance is made by adding four \(100 \Omega\) resistances of tolerance \(5 \%\), then the tolerance of the combination is [M ains-2011]

1 \(5 \%\)
2 \(10 \%\)
3 \(15 \%\)
4 \(20 \%\)
Current Electricity

268471 Four resistances \(10_{\Omega}, 5_{\Omega}, 7_{\Omega}\) and \(3 \Omega\) are connected so that they form the sides of a rectangle \(A B, B C, C D\) and \(D A\) respectively. Another resistance of \(10 \Omega\) is connected across the diagonal \(A C\). The equivalent resistance between \(A\) and \(B\) is

1 \(2 \Omega\)
2 \(5 \Omega\)
3 \(7 \Omega\)
4 \(10 \Omega\)
Current Electricity

268472 A\(3 \Omega\) resistor and a \(6 \Omega\) resistor are connected in parallel and the combination is connected in series to a battery of \(5 \mathrm{~V}\) and a \(3_{\Omega}\) resistor. The potential difference across the \(6 \Omega\) resistor

1 \(2 \mathrm{~V}\)
2 \(4 \mathrm{~V}\)
3 \(3 \mathrm{~V}\)
4 \(1 \mathrm{~V}\)
Current Electricity

268473 You are given a wire of length\(100 \mathrm{~cm}\) and linear resistance of \(1 \mathrm{ohm} / \mathrm{cm}\). If it is cut into two parts, so that when they are in parallel, the effective resistance is 24 ohm. The lengths of the two parts are

1 \(30 \mathrm{~cm} \& 70 \mathrm{~cm}\)
2 \(60 \mathrm{~cm} \& 40 \mathrm{~cm}\)
3 \(70 \mathrm{~cm} \& 30 \mathrm{~cm}\)
4 \(20 \mathrm{~cm} \& 80 \mathrm{~cm}\)