Given Information:
Motional emf = 4 V
Length = L = 1.3 m
Earth's Magnetic field = B = 5.0x10⁻⁵ T
Required Information:
Speed = v = ?
Answer:
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.
Answer:
you will drive at 6.1583 * [tex]10^{4}[/tex] m/s
Explanation:
motional emf = 4.0 V
length of antenna = 1.3 m
magnetic field is expressed ( B ) = 5 * [tex]10^{-5}[/tex] T
To calculate how far you would drive your car we can apply the induced emf formula :
induced emf (e ) = B*v*l
since the motion of the antenna is perpendicular to B
from equation of induced emf: V = [tex]\frac{e}{BL}[/tex]
V = [tex]\frac{4}{(5*10^{-5})* 1.3 }[/tex] = 4 / 0.000065 = 6.1583 * [tex]10^{4}[/tex] m/s
