A long straight wire in the horizontal plane carries a current of 50 A in north to south direction. Give the magnitude and direction of B at a point 2.5 m east of the wire.

Solution

Given,
Current carried by wire, I= 50 A
Distance from the wire, r = 2.5 m
Magnetic field at point r, B = ?

Using ampere's circuital law

B = \frac{μ_{0} I}{2 πr} = \frac{4 π \times 10^{- 7} \times 50}{2 π \times 2.5} = 4 \times 10^{- 6} T

The direction of magnetic field can be found out by applying right hand thumb rule. As the direction of current is from north to south represented by thumb, the direction iof magnetic field is vertically upwards in east direction of wire.

Some More Questions From Moving Charges And Magnetism Chapter

Two moving coil meters, M₁ and M₂ have the following particulars:
R₁ = 10 Ω N₁ = 30,
A₁ = 3.6 x 10^–3 m², B₁ = 0.25 T
R₂ = 14 Ω; N₂ = 42,
A₂ = 1.8 x 10^–3 m², B₂ = 0.50 T
(The spring constants k are identical for the two meters).
Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M₂ and M_1.

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Moving Charges And Magnetism

A long straight wire in the horizontal plane carries a current of 50 A in north to south direction. Give the magnitude and direction of B at a point 2.5 m east of the wire.

Some More Questions From Moving Charges And Magnetism Chapter

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