In a homogeneous vertical magnetic field, the induction modulus of which is B = 0.80 T
In a homogeneous vertical magnetic field, the induction modulus of which is B = 0.80 T, a rectilinear horizontal conductor with a length of L = 1.0 m and a mass of m = 0.50 kg rests on two vertical threads. Determine the modulus of acceleration of the conductor immediately after switching on the current with a force of I = 10 A.
Let’s write down the formula for solving the problem:
T1 + m * g + Fa = 0;
We transform for T1 and T2:
T1 = – m * g – Fа (for the included current);
T2 – m * g = 0 (for off current);
We transform for T2:
T2 = – m * g;
Let’s combine the formulas for T1 and T2:
T2 – T1 = F = Fa = I * B * L = m * a;
Let’s compose the formula:
a = I * B * L / m;
Substitute the value formula and solve:
a = 10 * 0.8 * 1 / 0.5;
a = 16 m / s ^ 2;
Answer: a = 16 m / s ^ 2.