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. \(\dfrac{I}{A}~\sin30^\circ\)
Subtopic:  Current & Current Density |
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A beam of electrons emitted from the electron gun \(G\) is accelerated by an electric field \(E.\) The area of cross-section of the beam remains constant. As the beam moves away from \(G,\)
                   
(A) the speed of the electrons increases
(B) the current constituted by the beam increases
(C) the number of electrons per unit volume in the beam increases
(D) the number of electrons per unit volume in the beam decreases
Choose the correct option from the options given below:
1. (A), (B) and (C) only
2. (A) and (D) only
3. (B) and (D) only
4. (B), (C) and (D) only
Subtopic:  Current & Current Density |
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A uniform metal wire of length \(l\) has \(10~\Omega \) resistance. Now this wire is stretched to a length \(2l\)  and then bent to form a perfect circle. The equivalent resistance across any arbitrary diameter of that circle is:
1. \(10~\Omega \) 2. \(5~\Omega \)
3. \(40~\Omega \) 4. \(20~\Omega \)
Subtopic:  Current & Current Density |
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NEET - 2024
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The current flowing through the resistance \(R_1\), when \(R_1=R_2\) and \(R_3=R_4\) is: 
               
1. \(\frac{V}{4\left(R_1+R_3\right)}\) 2. \(\frac{2 V}{\left(R_1+R_3\right)}\)
3. \(\frac{V}{\left(R_1+R_3\right)}\) 4. \(\frac{V}{2\left(R_1+R_3\right)}\)
Subtopic:  Current & Current Density |
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