Example

Question:

Kamla pedals a stationary bicycle. The pedals are attached to a 100-turn coil of area \(0.10\ \text{m}^2\). The coil rotates at half a revolution per second and is placed in a uniform magnetic field of \(0.01\ \text{T}\) perpendicular to the axis of rotation of the coil. What is the maximum voltage generated in the coil?

Solution:

Here: \(v = 0.5\ \text{Hz}\), \(N = 100\), \(A = 0.1\ \text{m}^2\), \(B = 0.01\ \text{T}\)
Employing Eq. (6.19): \[ \epsilon_0 = NBA(2\pi v) = 100 \times 0.01 \times 0.1 \times 2 \times 3.14 \times 0.5 = 0.314\ \text{V} \] Maximum voltage is \(0.314\ \text{V}\).