Question

An automobile has a vertical antenna 1.45 m long. The automobile travels at 90 km/h on a horizontal road where the Earth's magnetic field is 59.0 µT directed to the north and downward at an angle of 65.5° below the horizontal. Calculate the maximum magnitude of the induced emf in the antenna.

Answer 1

`9.05* 10^(-4) V`

Step-by-step explanation:

We are given that

Length of antenna,l=1.45 m

Earth's magnetic field,
`B=59\mu T=59* 10^(-6) T`

`1\mu=10^(-6)`

`\theta=65.5^(\circ)`

Speed,v=90 km/h=
`90* (5)/(18)=25m/s`

`1km/h=(5)/(18)m/s`

Magnitude of maximum induced emf in the antenna=
`E=Blvcos\theta`

Substitute the values

`E=59* 10^(-6)* 1.45* 25cos65`

`E=9.05* 10^(-4) V`