In the given figure, the value of x is

Explanation

Given that the conductor is horizontally supported from the suspension wires. It requires a vertically upward magnetic force `(F = Bil)` to support its own without making the support tension zero .
Upward magnetic force on the wire `F = BIl` ……(1)
Downward force to be supported (weight)
`F = (0.2 xx 10^(-3) xx L ) xx 10` .......(2)
Given data :
Linear density ` = m/L = 0.2 xx 10^(-3) kg m^(-1)` .
Magnetic field , `B = 1 ` Tesla . `g = 10 ms^(-2)`
Equating forces
`BIl = 0.2 xx 10^(-3) xx L xx 10`
`1xx L xx I = 0.2 xx 10^(-3) xx L xx 10`
`I = 2 xx 10^(-3) A`
` I = 2mA`