Two point charges are fixed on the xy-plane:
\(-3.0\,\mu\rm C\) charge at point \(\rm A (1.0\, m,\, 0)\)
\(+3.0\,\mu \rm C\) charge at point \(\rm B (0,\, 4.0\,m)\)
A point \(\rm P\) is located at \((\rm 2.0\, m, 0)\).
a) What is the magnitude of the electric field at point \(\rm P\) due only to the \(+3.0\,\mu\rm C\) charge at \(\rm B\)?
b) What is the magnitude of the electric field at point \(\rm P\) due only to the \(3.0\, \mu\rm C\) charge at \(\rm A\)?
Two point charges are held stationary in a vacuum: A fixed charge \( q_2 = +2.00 \, \mu\text{C} \) and a movable charge \( q_1 = -3.00 \, \mu\text{C} \) with mass \( m = 1.20 \, \text{kg} \). The charges are initially separated by a distance \( r = 3.00 \, \text{cm} \) on a frictionless horizontal surface. When released, charge \( q_1 \) begins to move. Calculate the magnitude of the initial acceleration of \( q_1 \) immediately after release.
A) \( 25.0 \, \text{m/s}^2 \)
B) \( 50.0 \, \text{m/s}^2 \)
C) \( 75.0 \, \text{m/s}^2 \)
D) \( 100 \, \text{m/s}^2 \)