Question

A source charge of 3 µc generates an electric field of 2.86 × 105 n/c at the location of a test charge. what is the distance, to the nearest hundredth, of the test charge from the source charge?

Answer 1

Hi there!

Recall the equation for the electric field produced by a point charge:

$E = \frac{kQ}{r^2}$

E = Electric field (2.86 × 10⁵ N/C)
k = Coulomb's Constant (8.99 × 10⁹ Nm²/C²)

Q = Charge (3 × 10⁻⁶ C)
r = distance from center of charge (? m)

Rearrange the equation to solve for 'r'.

$r^2 = \frac{kQ}{E}\\\\r = \sqrt\frac{kQ}{E}}}\\\\r = \sqrt{\frac{(8.99\times10^9)(3\times10^6)}{(2.86\times 10^5)}} = \boxed{0.307 m}$

Answer 2

Answer:

0.307

Explanation:

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