The force per unit length between two parallel current carrying straight conductors separated by 2d is given by the formula

Question

The force per unit length between two parallel current carrying straight conductors separated by 2d is given by the formula (A) (μ0/4 π) (i1 i2/d) (B) (μ0/4 π) (i1 i2/2 d) (C) (μ0/π) (i1 i2/2 d) (D) None of these

Tardigrade Admin · Accepted Answer

Force per unit length between the two parallel current carrying wires

\frac{F}{L} = \frac{μ _{0}}{2 π r} i_{1} i_{2}

= \frac{μ _{0}}{2 π ( 2 d )} i_{1} i_{2} = \frac{μ _{0} i _{1} i _{2}}{4 π d} [∵ r = 2 d]

Q. The force per unit length between two parallel current carrying straight conductors separated by $2 d$ is given by the formula

$\frac{μ _{0}}{4 π} \frac{i _{1} i _{2}}{d}$

$\frac{μ _{0}}{4 π} \frac{i _{1} i _{2}}{2 d}$

$\frac{μ _{0}}{π} \frac{i _{1} i _{2}}{2 d}$

None of these

Force per unit length between the two parallel current carrying wires

$\frac{F}{L} = \frac{μ _{0}}{2 π r} i_{1} i_{2}$
$= \frac{μ _{0}}{2 π ( 2 d )} i_{1} i_{2} = \frac{μ _{0} i _{1} i _{2}}{4 π d} [∵ r = 2 d]$

Q. The force per unit length between two parallel current carrying straight conductors separated by 2d is given by the formula

4πμ0​​di1​i2​​

4πμ0​​2di1​i2​​

πμ0​​2di1​i2​​