Magnetic Field Due to Straight Current Carrying Wire

Practice Questions:

Question 21: difficult

What will be the resultant magnetic field at origin due to four infinite length wires. If each wire produces magnetic field ‘B’ at origin:

1. 4B

2. √2 B

3. 2√2 B

4. Zero

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Question 22: difficult

A current I flows in a thin wire, shaped as regular polygon of n sides which can be
inscribed in a circle of radius R. The magnetic field induction at the centre of polygon due to
one side of the polygon is :

1. \[tan\frac{\pi}{n} tesla\]

2. \[\frac{\mu_{0}I}{\pi R}\left[ tan\frac{\pi}{n} \right] tesla\]

3. \[\frac{\mu_{0}I}{2\pi R}\left[ tan\frac{\pi}{n} \right] tesla\]

4. \[\frac{\mu_{0}I}{2\pi R}\left[ cos\frac{\pi}{n} \right]\]

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Question 23: moderate

Consider a set of six infinite long straight parallel wires arranged perpendicular to the plane of paper in a hexagon as shown. The length of the each side of the hexagon is 3 cm. What is the magnitude and direction of the magnetic field at point P ?

1. 20 μT

2. 40 μT

3. 60 μT

4. 80 μT

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