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  4. The figure shows two long straight current carrying wire separated by a fixed distance d. The magnitude of current, flowing in each wire varies with time but the magnitude of current in each wire is equal at all times. Which of the following graphs shows the correct variation of force per unit length f between the two wires with current i ?

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Q. The figure shows two long straight current carrying wire separated by a fixed distance $d$. The magnitude of current, flowing in each wire varies with time but the magnitude of current in each wire is equal at all times. Which of the following graphs shows the correct variation of force per unit length $f$ between the two wires with current $i$ ?Physics Question Image

Moving Charges and Magnetism

Solution:

The force per unit length is given by $f=\frac{\mu_0 i^2}{2 \pi d}$
i.e., $f \propto i^2$