Electrostatics

Step 1: Use Electrostatic Potential Energy Formula The electrostatic potential energy between two charges is given by: where:
- N·m²/C²,
- nC,
- ,
- cm m,
- μJ J.
Step 2: Solve for

We are given four capacitors, each of capacitance , connected as shown in the diagram. We need to calculate the equivalent capacitance between points A and B.

Step 1: Identifying the Capacitor Connections
From the figure: - The top two capacitors are in series. - The bottom two capacitors are also in series. - These two series combinations are in parallel with each other.

Step 2: Capacitance of Each Series Pair
The capacitance of two capacitors in series is given by: Since each capacitor has capacitance , Thus, Step 3: Equivalent Capacitance of Parallel Combination
The two series combinations are now in parallel. For capacitors in parallel:

Step 4: Final Equivalent Capacitance
Notice that this combination is in parallel with another identical combination of capacitors (from symmetry in the diagram). The total equivalent capacitance is:

Step 5: Final Answer

Given: Mass of the particle, g = kg Charge of the particle, C = C Electric field, NC Initial velocity, ms Time, s The force experienced by the particle in the electric field is given by The acceleration of the particle is given by Using the equation of motion, , we have Therefore, the velocity of the particle after 5 seconds is ms .