State Faraday’s law for electromagnetic induction.
A metal rod is given uniform acceleration from rest in a uniform magnetic field, as shown in Fig. 7.1. The rod has length $l$ and the magnetic flux density of the magnetic field is $B$. An electromotive force (e.m.f.) is induced in the rod. Fig. 7.2 shows how the induced e.m.f. $E$ varies with time $t$.
Explain how Fig. 7.2 indicates that $E$ is proportional to the rod’s velocity $v$.
Use Faraday’s law to demonstrate that the time dependence of $E$ is $E = Blat$, where $a$ denotes the rod’s acceleration.
The rod’s length is $0.45\,\text{m}$. Its acceleration $a$ is $7.8\,\text{m s}^{-2}$. Determine the value of $B$.
Use Faraday’s law to show that the time variation of $E$ is $E = Blat$, where $a$ is the rod’s acceleration.
The rod’s length is $0.45\,\text{m}$. Its acceleration $a$ is $7.8\,\text{m s}^{-2}$. Determine the value of $B$.