Force and torque on a triangular current loop. A rigid loop in the form of an equilat...

(a)

As per Figure 1, write the magnetic force on the loop side 1.

Here,

Magnetic flux density vector is

Length vector is

Current is

Hence, the magnetic force on the loop side 1 is .

As per Figure 1, the magnetic force on the loop side 2 .

Here,

Length vector is .

Hence, the magnetic force on the loop side 2 is .

As per Figure 1, calculate the magnetic force on the loop side 3.

Here,

Length vector is

Hence, the magnetic force on the loop side 3 is .

(b)

As per Figure 1, calculate the torque on the loop side 1.

Here,

Magnetic flux density is

Length is

Current is

Length

Hence, the torque on the loop side 1 is .

From Figure 1, calculate the torque on the loop side 2.

Here,

Magnetic flux density is

Length is

Current is

Length

Hence, the torque on the loop side 2 is .

From Figure 1, calculate the torque on the loop side 3.

Here,

Magnetic flux density is

Length is

Current is

Length

Hence, the torque on the loop side 3 is .

(c)

Calculate the net force on the loop.

Hence, the net force on the loop is .

(d)

Calculate the net torque on the loop.

Hence, the net torque on the loop is .