1. Determine the electric potential at a point located at 1 cm from a charge 5.0 μC. Coulomb constant (k) = 9 x 109 Nm2C−2, 1 μC = 10−6 C.
Known :
The distance from charge (r) = 1 cm = 1/100 m = 0.01 m = 10-2 m
Charge (q) = 5.0 μC = 5.0 x 10-6 C
Coulomb constant (k) = 9 x 109 Nm2C−2
Wanted : Electric potential (V)
Solution :
Electric potential :
Electric potential is 4.5 x 106 Volt
[irp]
2. Charge Q1 = 5.0 μC and charge Q2 = 6.0 μC. Coulomb’s constant (k) = 9 x 109 Nm2C−2, 1 μC = 10−6 C. Point A located between the charges. Determine electric potential at point A.
Known :
Charge Q1 = -5.0 μC = -5.0 x 10-6 C
The distance of point A from Q1 = 10 cm = 0.1 m = 10-1 m
Charge Q2 = 6.0 μC = 6.0 x 10-6 C
The distance of point a from Q2 = 10 cm = 0.1 m = 10-1 m
Coulomb’s constant (k) = 9 x 109 Nm2C−2
Wanted : Electric potential at point A
Solution :
Electric potential 1 :
Electric potential 2 :
Electric potential at point A :
V = V2 – V1
V = (54 – 45) x 104
V = 9 x 104
[irp]
3. Charge q1 = 5.0 μC and charge q2 = 6.0 μC. Coulomb’s constant (k) = 9 x 109 Nm2C−2, 1 μC = 10−6 C. Determine the electric potential at point A.
Known :
Charge Q1 = -5.0 μC = -5.0 x 10-6 C
The distance of point A from Q1 = 40 cm = 0.4 m = 4 x 10-1 m
Charge Q2 = 6.0 μC = 6.0 x 10-6 C
The distance of point A from Q2 = 50 cm = 0.5 m = 5 x 10-1 m
Coulomb’s constant (k) = 9 x 109 Nm2C−2
Wanted : Electric potential at point A
Solution :
Electric potential 1 :
Electric potential 2 :
Electric potential at point A :
V = V1 + V2
V = (-11.25 + 10.8) x 104
V = -0.45 x 104
V = -4.5 x 103
Electric potential at point A is -4.5 x 103 Volt