Q. No.Refer to the figure given below, current between terminals \(A\) and \(B\) is: (in \(A\))
1. \(12.5\)
2. \(1.25\)
3. \(7.5\)
4. \(5\)
1. \(12.5\)
2. \(1.25\)
3. \(7.5\)
4. \(5\)
Subtopic: Combination of Resistors |
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The voltage and the current between \(A\) and \(B\) points shown in the circuit are:
1. \(24~\text{V},12~\text{A}\)
2. \(24~\text{V},4~\text{A}\)
3. \(18~\text{V},12~\text{A}\)
4. \(27~\text{V},4~\text{A}\)
1. \(24~\text{V},12~\text{A}\)
2. \(24~\text{V},4~\text{A}\)
3. \(18~\text{V},12~\text{A}\)
4. \(27~\text{V},4~\text{A}\)
Subtopic: Combination of Resistors |
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Level 2: 60%+
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Two known resistance of \(R~\Omega\) and \(2R~\Omega\) and one unknown resistance \(X~\Omega\) are connected in a circuit as shown in the figure. If the equivalent resistance between points \(A\) and \(B\) in the circuit is \(X~\Omega\), then the value of \(X\) is: (in \(\Omega\))
1. \((\sqrt{3}-1) {R}\)
2. \(R~\)
3. \(2(\sqrt{3}-1) {R}\)
4. \((\sqrt{3}+1) {R}\)
1. \((\sqrt{3}-1) {R}\)
2. \(R~\)
3. \(2(\sqrt{3}-1) {R}\)
4. \((\sqrt{3}+1) {R}\)
Subtopic: Combination of Resistors |
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A wire of uniform resistance \(\lambda ~\Omega/\text{m}\) is bent into a circle of radius \(r\) and another piece of wire with length \(2r\) is connected between points \(A\) and \(B\) \((AOB)\) as shown in figure. The equivalent resistance between points \(A\) and \(B\) is: (in \(\Omega\))
1. \(\dfrac{3 \pi \lambda {r}}{8}\)
2. \((\pi+1) 2{r} \lambda\)
3. \(\dfrac{6 \pi \lambda {r}}{3 \pi+16}\)
4. \(2 \pi \lambda {r}\)
1. \(\dfrac{3 \pi \lambda {r}}{8}\)
2. \((\pi+1) 2{r} \lambda\)
3. \(\dfrac{6 \pi \lambda {r}}{3 \pi+16}\)
4. \(2 \pi \lambda {r}\)
Subtopic: Combination of Resistors |
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A regular hexagon is formed by six wires each of resistance \(r~\Omega\) and the corners are joined to centre by wires of same resistance. If the current enters at one corner and leaves at the opposite corner, the equivalent resistance of the hexagon between the two opposite corners will be:
1. \(\dfrac{4}{5}r\)
2. \(\dfrac{5}{8} r\)
3. \(\dfrac{3}{4}{r}\)
4. \(\dfrac{3}{5}{r}\)
1. \(\dfrac{4}{5}r\)
2. \(\dfrac{5}{8} r\)
3. \(\dfrac{3}{4}{r}\)
4. \(\dfrac{3}{5}{r}\)
Subtopic: Combination of Resistors |
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The equivalent resistance between the points \(A\) and \(B\) in the following circuit is \(\dfrac{x}{5}~ \Omega .\) The value of \(x\) is:
1. \(11\)
2. \(21\)
3. \(30\)
4. \(40\)
1. \(11\)
2. \(21\)
3. \(30\)
4. \(40\)
Subtopic: Combination of Resistors |
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From the combination of resistors with resistances values \(R_1 = R_2 = R_3 = 5 ~\Omega\) and \(R_4 = 10 ~\Omega,\) which of the following combination is the best circuit to get an equivalent resistance of \(6 ~\Omega\)?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Combination of Resistors |
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A wire of resistance \(R\) is bent into a triangular pyramid as show in figure with each segment having same length. The resistance between points \(A\) and \(B\) is \(R/n. \) The value of \(n \) is:
1. \(14\)
2. \(16\)
3. \(12\)
4. \(10\)
1. \(14\)
2. \(16\)
3. \(12\)
4. \(10\)
Subtopic: Combination of Resistors |
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The value of the current \(I\) in the electrical circuit as given below, when the potential at \(A\) is equal to the potential at \(B,\) will be:
1. \(20~\text A\)
2. \(2~\text A\)
3. \(7.5~\text A\)
4. \(13~\text A\)
1. \(20~\text A\)
2. \(2~\text A\)
3. \(7.5~\text A\)
4. \(13~\text A\)
Subtopic: Combination of Resistors |
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Find the equivalent resistance between two ends of the following circuit
1. \(\dfrac {r} {9}\)
2. \(\dfrac {r} {6}\)
3. \(r\)
4. \(\dfrac {r} {3}\)
1. \(\dfrac {r} {9}\)
2. \(\dfrac {r} {6}\)
3. \(r\)
4. \(\dfrac {r} {3}\)
Subtopic: Combination of Resistors |
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