A current of I ampere flows in a wire forming a circular arc of radius r metres subtending an angle θ at the centre as shown. The magnetic field at the centre O in tesla is

Question

A current of I ampere flows in a wire forming a circular arc of radius r metres subtending an angle θ at the centre as shown. The magnetic field at the centre O in tesla is (A) (μ0 I θ/4 π r) (B) (μ0 I θ/2 π r) (C) (μ0 I θ/2 r) (D) (μ0 I θ/4 r)

Tardigrade Admin · Accepted Answer

B=(μ0 I/2 r) × (θ/2 π)=(μ0 I θ/4 π r)

Q. A current of I ampere flows in a wire forming a circular arc of radius $r$ metres subtending an angle $θ$ at the centre as shown. The magnetic field at the centre $O$ in tesla is

$\frac{μ _{0} I θ}{4 π r}$

$\frac{μ _{0} I θ}{2 π r}$

$\frac{μ _{0} I θ}{2 r}$

$\frac{μ _{0} I θ}{4 r}$

$B = \frac{μ _{0} I}{2 r} \times \frac{θ}{2 π} = \frac{μ _{0} I θ}{4 π r}$

Q. A current of I ampere flows in a wire forming a circular arc of radius r metres subtending an angle θ at the centre as shown. The magnetic field at the centre O in tesla is

4πrμ0​Iθ​

2πrμ0​Iθ​

2rμ0​Iθ​

4rμ0​Iθ​