Q. No.Current density is the current crossing per unit area. Consider a cylindrical wire of uniform cross-section \(A,\) carrying a current \(I.\) Imagine a cross-section formed by a "\(30^\circ\)-cut" as shown (the wire is not really cut). The current density perpendicular to this cross-section is:
1.
\(\dfrac{I}{A}\)
2.
\(\dfrac{I}{A}~\cos30^\circ\)
3.
\(\dfrac{2I}{A}\)
4.
\(\dfrac{I}{A}~\sin30^\circ\)
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| 1. | \(3\) | 2. | \(4\) |
| 3. | \(\dfrac13\) | 4. | \(1\) |
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| Statement I: | Kirchhoff’s current law is a consequence of the conservation of energy as applied to electric circuits. |
| Statement II: | Kirchhoff’s voltage law is a consequence of the conservation of charge. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
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1. \(100~\Omega\)
2. \(200~\Omega\)
3. \(400~\Omega\)
4. \(900~\Omega\)
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(a) terminals \(C,D\) are disconnected (switch \(K\) is open)
(b) terminals \(C,D\) are connected (switch \(K\) is closed)
1. \(2.5~\Omega,~2.5~\Omega\)
2. \(2.5~\Omega,~2.4~\Omega\)
3. \(2.4~\Omega,~2.5~\Omega\)
4. \(2.4~\Omega,~2.4~\Omega\)
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1. \(2 ~\Omega\)
2. \(3.2 ~\Omega\)
3. \(4 ~\Omega\)
4. \(6.4 ~\Omega\)
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| 1. | \(2~\text{A}\) from \(A\) to \(B\) |
| 2. | \(2~\text{A}\) from \(B\) to \(A\) |
| 3. | \(1~\text{A}\) from \(A\) to \(B\) |
| 4. | zero |
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1. \(1\)
2. \(\dfrac12\)
3. \(\dfrac21\)
4. \(\sqrt2\)
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1. \(2~\Omega\)
2. \(4~\Omega\)
3. \(6~\Omega\)
4. \(1.6~\Omega\)
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| 1. | \(1~\text A\) | 2. | \(0.5~\text A\) |
| 3. | \(2.5~\text A\) | 4. | \(3~\text A\) |
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