Consider the following figure. Consider the following figure. (a) Find the elect

Question

Consider the following figure.

Consider the following figure. (a) Find the electric potential, taking zero at infinity, at the upper right corner (the corner without a charge) of the rectangle in the figure. (Let y = 2.7cm and x = 6.9 cm.) Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. J/C (b) Repeat if the 2.00-C charge is replaced with a charge of ?2.00 C. Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. J/C

Explanation / Answer

(a) electric potential = kq1/r1 + kq2/r2 + kq3/r3

= (8.988x10^9) x [(8 x 10^-6)/(0.069) + (2 x 10^-6)/(0.074) + (4x10^-6)/(0.027)]
= (8.988x10^9) x [1.16 x 10-4 + 0.27 x 10-4 + 1.48 x 10-4]
= 2.615 x 104

(b) electric potential = kq1/r1 - kq2/r2 + kq3/r3

= (8.988x10^9) x [(8 x 10^-6)/(0.069) - (2 x 10^-6)/(0.074) + (4x10^-6)/(0.027)]
= (8.988x10^9) x [1.16 x 10-4 - 0.27 x 10-4 + 1.48 x 10-4]
= 2.13 x 104

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