A current-carrying straight wire is kept along the axis of a circular loop carrying a current. The straight wire
| 1. | will exert an inward force on the circular loop |
| 2. | will exert an outward force on the circular loop |
| 3. | will not exert any force on the circular loop |
| 4. | will exert a force on the circular loop parallel to itself |
A proton beam is going from north to south and an electron beam is going from south to north. Neglecting the earth's magnetic field, the electron beam will be deflected:
| 1. | towards the proton beam |
| 2. | away from the proton beam |
| 3. | upwards |
| 4. | downwards |
A circular loop is kept in that vertical plane which contains the north-south direction. It carries a current that is towards the north at the topmost point. Let A be a point on the axis of the circle to the east of it and B a point on this axis to the west of it. The magnetic field due to the loop:
| 1. | is towards the east at \(A,\) and towards the west at \(B.\) |
| 2. | is towards the west at \(A,\) and towards the east at \(B.\) |
| 3. | is towards the east at both \(A,\) and \(B.\) |
| 4. | is towards the west at both \(A,\) and \(B.\) |
Consider the situation shown in the figure. The straight wire is fixed but the loop can move under magnetic force. The loop will:

| 1. | remain stationary |
| 2. | move towards the wire |
| 3. | move away from the wire |
| 4. | rotate about the wire |
A charged particle is moved along a magnetic field line. The magnetic force on the particle is:
| 1. | along its velocity |
| 2. | opposite to its velocity |
| 3. | perpendicular to its velocity |
| 4. | zero |
A moving charge produces:
1. electric field only
2. magnetic field only
3. both of them
4. none of them
Two parallel wires carry currents of \(20 ~\text A\) and \(40 ~\text A\) in opposite directions. Another wire carrying a current antiparallel to \(20 ~\text A\) is placed midway between the two wires. The magnetic force on it will be:
1. towards \(20 ~\text A\)
2. towards \(40 ~\text A\)
3. zero
4. perpendicular to the plane of the currents
Two parallel, long wires carry currents \(i_1,\) and \(i_2\) with \(i_1 > i_2.\) When the currents are in the same direction, the magnetic field at a point midway between the wires is \(10~\mu \text T.\) If the direction of \(i_2\) is reversed, the field becomes \(30~\mu \text T.\) The ratio of their currents \( i_1/i_2\) is:
1. \(4\)
2. \(3\)
3. \(2\)
4. \(1\)
Consider a long, straight wire of cross-sectional area \(A\) carrying a current \(i.\) Let there be n free electrons per unit volume. An observer places himself on a trolley moving in the direction opposite to the current with a speed \(v=\frac{{i}}{{n}{Ae}}\)and separated from the wire by a distance \(r.\) The magnetic field seen by the observer is very nearly;
1. \(\dfrac{\mu_{0} i}{2 \pi r}\)
2. Zero
3. \(\dfrac{\mu_{0} i}{ \pi r}\)
4. \(\dfrac{2\mu_{0} i}{\pi r}\)
A current element \(i\overrightarrow{dl}\) is placed at position \(\vec r\) from the origin. What is the magnetic field \(\overrightarrow{dB}\) at the origin due to this current element?
| (A) | \(\dfrac{\mu_{0} i_{}{}}{4 \pi} \dfrac{\overrightarrow{dl} \times \vec{r}}{r^{3}}\) | (B) | \(-\dfrac{\mu_{0} i_{}{}}{4 \pi} \dfrac{\vec{r} \times\overrightarrow{dl} }{r^{3}}\) |
| (C) | \(\dfrac{\mu_{0} i_{}{}}{4 \pi} \dfrac{\vec{r} \times\overrightarrow{dl} }{r^{3}}\) | (D) | \(-\dfrac{\mu_{0} i_{}{}}{4 \pi} \dfrac{\overrightarrow{dl} \times \vec{r}}{r^{3}}\) |
Choose the correct option from the given ones:
| 1. | (A) and (B) only | 2. | (B) and (C) only |
| 3. | (C) and (D) only | 4. | (A) and (D) only |