The electric field at a point in space is E =( 100 i ^+ 600 j ^)N/C. Part A What

Question

The electric field at a point in space is E  =( 100 i^+ 600j^)N/C.

Part A

What is the x-component of the electric force on a proton at this point?

Express your answer with the appropriate units.

Part B

What is the y-component of the electric force on a proton at this point?

Express your answer with the appropriate units.

Part C

What is the x-component of the electric force on an electron at this point?

Express your answer with the appropriate units.

Part D

What is the y-component of the electric force on a electron at this point?

Express your answer with the appropriate units.

Part E

What is the magnitude of the proton's acceleration?

Express your answer with the appropriate units.

Part F

What is the magnitude of the electron's acceleration?

Express your answer with the appropriate units.

Explanation / Answer

E  =( 100 i^+ 600j^)N/C.

We know , F = q*E
For Proton -
q = 1.6*10^-19
F = 1.6*10^-19 *  (100 i^+ 600j^)N/C.
F = 1.6*10^-17 i^ + 9.6*10^-17 j N
For Electron -
q = -1.6*10^-19
F = - 1.6*10^-19 *  (100 i^+ 600j^)N/C.
F = -1.6*10^-17 i^ - 9.6*10^-17 j N

Part A -
x-component of the electric force on a proton at this point = 1.6*10^-17 N

Part B -
y-component of the electric force on a proton at this point = 9.6*10^-17 N

Part C -
x-component of the electric force on a electron at this point = - 1.6*10^-17 N (-ve sign means Force acts in an opposite direction of Electric Field. )

Part D -
y-component of the electric force on a electron at this point = - 9.6*10^-17 N (-ve sign means Force acts in an opposite direction of Electric Field. )

Part E -
Mass of Proton mp = 1.67 * 10^-27 Kg
F = mp *a
a = F/mp
a = sqrt((1.6*10^-17)^2 + (9.6*10^-17)^2) / (1.67 * 10^-27) m/s^2
a = 5.827 * 10^10 m/s^2
Magnitude of the proton's acceleration a =  5.827 * 10^10 m/s^2

Part F -
Mass of Electron me = 9.1 * 10 ^-31 Kg
F = me *a
a = F/me
a = sqrt((1.6*10^-17)^2 + (9.6*10^-17)^2) / (9.1 * 10 ^-31) m/s^2
a = 1.069 * 10^14 m/s^2

Magnitude of the electron acceleration a = 1.069 * 10^14 m/s^2

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