A charged particle with a mass of 4.0 x 10-3kg and a charge of 65.0x10-4C is travelling at 1750 km/hr. If it enters a 32,500 N/C electric field, how much of a change in voltage is necessary to bring it to a halt? What must the sign of the voltage change be?
given
mass m = 4.0 x 10-3 kg
charge of q = 65.0 x 10-4 C
v = 1750 km/hr
= 486 m/sec
E = 32,500 N/C electric field,
change in voltage is V = ?
we have equation 1/2 m v2 = q V
0.5 x 4.0 x 10-3 x 4862 = 65 x 10-4 x V
V = 0.5 x 4.0 x 10-3 x 4862 / 65 x 10-4
V = 72675.692 volts
so the change in voltage is V = 72675.692 volts
using V = W / Q
the charge must be positive.
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