Three parallel wires $a, b$ and $c$ carrying currents $i_a, i_b$ and $i_c$ as shown in the figure are placed next to each other.

The magnitude force on a length $l$ of the wire $a$, if $d_2=2 d_1, i_b=i_a$ and $i_c=4 i_a$ is

Statement I A uniform electric field and a uniform magnetic field are pointed in the same direction. If an electron is projected in the same direction, the electron velocity will decrease in magnitude.

Statement II Two infinite long parallel wires are carrying current in the same direction. The magnetic field at a point mid-way between the wires is zero.

Statement III No net force acts on a rectangular coil carrying a steady current, when suspended in a uniform magnetic field.

Which of the following is correct?

Two parallel conductor each 50 m long, separated by 0.2 m experience a force of 1 N . If the current in first conductor is twice that of the second conductor, then what is the current in the second conductor?

$$ \left(\mu=4 \pi \times 10^{-7}\right) $$

A long solenoid with 10.0 turn $/ \mathrm{cm}$ and a radius of 8 cm carries a current of 7 mA . A current carrying straight conductor is located along the central axis of the solenoid. If the direction of resulting magnetic field is $60^{\circ}$ to axial direction at a point 5 cm from the axis of the solenoid along the radial direction, then the current in the conductor is [take, $\sqrt{2}=1.4, \sqrt{3}=1.7$ ]