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The magnetic field in the figure is decreasing at the rate 0.5T/s . a) What is t

ID: 1376416 • Letter: T

Question

The magnetic field in the figure is decreasing at the rate 0.5T/s .

a) What is the magnitude of the acceleration of a proton at rest at point a?

|a|=__________

b) What is the magnitude of the acceleration of a proton at rest at point c?

|a|=__________

c) What is the magnitude of the acceleration of a proton at rest at point d?

|a|=____________

The magnetic field in the figure is decreasing at the rate 0.5T/s . a) What is the magnitude of the acceleration of a proton at rest at point a? |a|=__________ b) What is the magnitude of the acceleration of a proton at rest at point c? |a|=__________ c) What is the magnitude of the acceleration of a proton at rest at point d? |a|=____________

Explanation / Answer

point a

L = 2 pi * 0.01

s = pi * 0.012

E = s / L * (dB / dt) = [pi * 0.012 / 2 pi * 0.01 ] * 0.5 = 2.5 * 10-3 N/m

charge/ mass = q / m = (1.6* 10-19) / (1.67 * 10-27) = 9.566 * 107 c/kg

accerlation = q E / m = 2.4 * 105 m/s2 [upwards]

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point b

E = 0

a = 0

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point c

E = 2.5 * 10-3 N/m

a = 2.4 * 105 m/s2 [downwards]

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point d

E = [pi * 0.022 / 2 pi * 0.02 ] * 0.5 = 5* 10-3 N/m

charge/ mass = 9.566 * 107 C/kg

accerlation = q E / m = 4.783* 105 m/s2 [dowmnward]