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

Subtopic:  Current Carrying Loop: Force & Torque |
 60%
Level 2: 60%+
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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
Subtopic:  Force between Current Carrying Wires |
 69%
Level 2: 60%+
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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 \(B.\)
Subtopic:  Magnetic Field due to various cases |
Level 3: 35%-60%
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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
Subtopic:  Force between Current Carrying Wires |
 82%
Level 1: 80%+
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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
Subtopic:  Lorentz Force |
 70%
Level 2: 60%+
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A moving charge produces:
1. electric field only
2. magnetic field only
3. both of them
4. none of them

Subtopic:  Biot-Savart Law |
 89%
Level 1: 80%+
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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

Subtopic:  Force between Current Carrying Wires |
 77%
Level 2: 60%+
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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. \(1\)

Subtopic:  Force between Current Carrying Wires |
 70%
Level 2: 60%+
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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. \(\dfrac{2\mu_{0} i}{\pi r}\) 

Subtopic:  Force between Current Carrying Wires |
 63%
Level 2: 60%+
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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
Subtopic:  Biot-Savart Law |
Level 4: Below 35%
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