Question Detail

PHY 102 Test Compilation PHY 102 21 Objective Question

Question

The distance between two positive charges 6uC and 8uC is 50 cm. Calculate the electric field intensity due to each charge at a point P in between the two charges and 10cm from the 6uC charge.
Options
A 2.0x106 N/C and 4.5x105 N/C
B 2.4x106 N/C and 2.5x105 N/C
C 3.5x106 N/C and 2.5x105 N/C
D 5.4x106 N/C and 4.5x105 N/C
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

P is 10 cm (0.1m) from the 6uC charge, and (50-10)=40 cm (0.4m) from the 8uC charge. E(due to 6uC) = kQ/r2 = (9x109)(6x10-6)/(0.1)2 = 54000/0.01 = 5.4x106 N/C. E(due to 8uC) = (9x109)(8x10-6)/(0.4)2 = 72000/0.16 = 4.5x105 N/C.

Hint

P is 10 cm (0.1m) from the 6uC charge, and (50-10)=40 cm (0.4m) from the 8uC charge.

Question Info