How fast would you have to drive your car to create a 4.0 V motional emf along your 1.3 m -long radio antenna? Assume that the motion of the antenna is perpendicular to B⃗ .

Given Information:

Motional emf = 4 V

Length = L = 1.3 m

Earth's Magnetic field = B = 5.0x10⁻⁵  T

Required Information:

Speed = v = ?

Speed = 61.53x10³ m/s

Explanation:

Assuming the magnetic field of Earth is 5.0x10⁻⁵  T then the relation between motional emf and magnetic field is given by

emf = vBL

where v is the speed, B is the magnetic field and L is the length

v = emf/BL

v = 4/(5.0x10⁻⁵*1.3)

v = 61.53x10³ m/s

Therefore, you have to drive your car at a speed of 61.53x10³ m/s to create a 4.0 V motional emf along your 1.3 m long radio antenna.

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