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Class 12 › Physics › Moving Charges and Magnetism
CBSE2020Class Class 12 · Physics2 Marks · Short✅ Verified
Write an expression for the magnetic force per unit length between two parallel thin current-carrying wires. Hence define one ampere.
✅ Answer & Solution
Force per unit length between two parallel wires carrying currents $I_1$ and $I_2$ separated by distance $d$:
$$\frac{F}{l} = \frac{\mu_0 I_1 I_2}{2\pi d}$$
Definition of 1 Ampere:
One ampere is that constant current which, when flowing through two infinitely long straight parallel conductors of negligible cross-section placed 1 m apart in vacuum, produces a force of $2 \times 10^{-7}$ N per metre of their length on each other.