Q. No.\(10\) resistors each of \(10\) \(\Omega\) resistance when connected together give minimum equivalent resistance \(R_1\) and maximum equivalent resistance \(R_2\) among various possible combinations.
So, \({R_2 \over R_1}\) is equal to:
1. \(1\)
2. \(100\)
3. \(200\)
4. \(10\)
So, \({R_2 \over R_1}\) is equal to:
1. \(1\)
2. \(100\)
3. \(200\)
4. \(10\)
Subtopic: Combination of Resistors |
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What will be the most suitable combination of three resistors \(A=2~\Omega, B= 4~\Omega, C= 6~\Omega\) so that \(\left({22 \over 3}\right)\Omega\) is the equivalent resistance of combination?
| 1. | Parallel combination of \(A\) and \(C\) connected in series with \(B\). |
| 2. | Parallel combination of \(A\) and \(B\) connected in series with \(C\). |
| 3. | Series combination of \(A\) and \(C\) connected in parallel with \(B\). |
| 4. | Series combination of \(B\) and \(C\) connected in parallel with \(A\). |
Subtopic: Combination of Resistors |
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What is the equivalent resistance of the network shown in fig. between the points \(a\) and \(b\)?
1. \( 4 r \)
2. \( r / 4 \)
3. \( 3 r \)
4. \( r / 3\)
1. \( 4 r \)
2. \( r / 4 \)
3. \( 3 r \)
4. \( r / 3\)
Subtopic: Combination of Resistors |
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Two resistors are connected in series, giving an equivalent resistance \(S.\) When the same resistors are connected in parallel, the equivalent resistance is \(P.\) If \(S= nP,\) what is the minimum value of \(n\text{?}\) (round off to the nearest integer)
1. \(4\)
2. \(7\)
3. \(9\)
4. \(2\)
1. \(4\)
2. \(7\)
3. \(9\)
4. \(2\)
Subtopic: Combination of Resistors |
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In the given figure, the equivalent resistance between the points \(A\) and \(B\) is:
1. \(8~\Omega\)
2. \(6~\Omega\)
3. \(4~\Omega\)
4. \(2~\Omega\)
1. \(8~\Omega\)
2. \(6~\Omega\)
3. \(4~\Omega\)
4. \(2~\Omega\)
Subtopic: Combination of Resistors |
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The equivalent resistance between points \(A\) and \(B\) in the given network is:
1. \(65~\Omega\)
2. \(20~\Omega\)
3. \(5~\Omega\)
4. \(2~\Omega\)
1. \(65~\Omega\)
2. \(20~\Omega\)
3. \(5~\Omega\)
4. \(2~\Omega\)
Subtopic: Combination of Resistors |
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The effective resistance in the following circuit across terminal \(A\) and \(B\) is equal to:
| 1. | \(5~ \Omega\) | 2. | \(10 ~\Omega\) |
| 3. | \(20~ \Omega\) | 4. | \(40~ \Omega\) |
Subtopic: Combination of Resistors |
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Two wires of equal diameter and of resistivity \(\rho_1\) and \(\rho_2\) and length \(x_1\) and \(x_2\) are joined in series. The equivalent resistivity of the combination is:
1. \(\dfrac{\rho_1x_1+\rho_2x_2}{x_1+x_2}\)
2. \(\dfrac{\rho_1x_2+\rho_2x_1}{x_1+x_2}\)
3. \(\dfrac{\rho_1x_1-\rho_2x_2}{x_1-x_2}\)
4. \(\dfrac{\rho_1x_2-\rho_2x_1}{x_1-x_2}\)
1. \(\dfrac{\rho_1x_1+\rho_2x_2}{x_1+x_2}\)
2. \(\dfrac{\rho_1x_2+\rho_2x_1}{x_1+x_2}\)
3. \(\dfrac{\rho_1x_1-\rho_2x_2}{x_1-x_2}\)
4. \(\dfrac{\rho_1x_2-\rho_2x_1}{x_1-x_2}\)
Subtopic: Combination of Resistors |
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A potential difference \(V_{AB}\) is impressed across \(AB\) and the potential difference across \(CD\) \((V_{CD})\) is measured. Assume, \(V_{AB}=300~\text{V}.\)
The current through the \(8~\Omega\) resistance is:
1. \(\dfrac{300}{17}~\text A\)
2. \(\dfrac{300}{8.5}~\text A\)
3. \(30~\text A\)
4. \(\Big(\dfrac{300}{14}+\dfrac{300}{11}\Big)~\text A~~\)
The current through the \(8~\Omega\) resistance is:
1. \(\dfrac{300}{17}~\text A\)
2. \(\dfrac{300}{8.5}~\text A\)
3. \(30~\text A\)
4. \(\Big(\dfrac{300}{14}+\dfrac{300}{11}\Big)~\text A~~\)
Subtopic: Combination of Resistors |
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In the figure shown, what is the current (in Ampere) drawn from the battery? You are given \(R_1=15~ \Omega, R_2=10~ \Omega, R_3=20~ \Omega,R_4=5~ \Omega, R_5=25~ \Omega, R_6=30~ \Omega, E=15~V\)
1. \(7/18\)
2. \(20/3\)
3. \(9/32\)
4. \(13/24\)
Subtopic: Combination of Resistors |
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