Electrostatics

Q. If two capacitors of capacitance C1 and C2 are connected in series, what is the equivalent capacitance?
  • A. C1 + C2
  • B. 1 / (1/C1 + 1/C2)
  • C. C1 * C2 / (C1 + C2)
  • D. C1 - C2
Q. If two charges of +3μC and +5μC are placed 0.3m apart, what is the magnitude of the force between them?
  • A. 0.15 N
  • B. 0.25 N
  • C. 0.45 N
  • D. 0.75 N
Q. If two charges of +3μC and -3μC are placed 0.1m apart, what is the net electric field at the midpoint?
  • A. 0 N/C
  • B. 54000 N/C
  • C. 27000 N/C
  • D. 81000 N/C
Q. If two identical charges are brought closer together, what happens to the potential energy of the system?
  • A. Increases
  • B. Decreases
  • C. Remains the same
  • D. Becomes zero
Q. If two identical charges are placed 1 meter apart, what happens to the force between them if the distance is doubled?
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. If two identical charges are placed 1m apart, what is the electric field at a point midway between them?
  • A. 0 N/C
  • B. kq/2
  • C. kq
  • D. 2kq
Q. If two identical charges are placed at a distance of 1m apart, what is the electric field at a point midway between them?
  • A. 0 N/C
  • B. kq/2
  • C. kq
  • D. kq/4
Q. If two identical charges are placed at a distance of 1m, what is the potential energy of the system?
  • A. 0.5 J
  • B. 1 J
  • C. 2 J
  • D. 4 J
Q. If two point charges are brought closer together, what happens to the electric potential energy of the system?
  • A. Increases
  • B. Decreases
  • C. Remains the same
  • D. Becomes zero
Q. In a capacitor, if the plate area is increased while keeping the separation constant, what happens to the capacitance?
  • A. It increases
  • B. It decreases
  • C. It remains the same
  • D. It becomes zero
Q. In a capacitor, what does the dielectric constant represent?
  • A. The ability to store charge
  • B. The ability to resist electric field
  • C. The ability to increase capacitance
  • D. The ability to conduct electricity
Q. In a capacitor, what is the relationship between charge (Q), capacitance (C), and voltage (V)?
  • A. Q = C + V
  • B. Q = C * V
  • C. Q = V / C
  • D. Q = C - V
Q. In a circuit, a capacitor is charged and then discharged through a resistor. What is the time constant of the circuit?
  • A. RC
  • B. C/R
  • C. R/C
  • D. 1/RC
Q. In a circuit, if a capacitor is fully charged, what is the voltage across it?
  • A. Zero
  • B. Equal to the source voltage
  • C. Half of the source voltage
  • D. Double the source voltage
Q. In a circuit, two capacitors of capacitance 2μF and 3μF are connected in parallel. What is the total capacitance?
  • A. 5μF
  • B. 6μF
  • C. 1.2μF
  • D. 0.6μF
Q. In a circuit, two capacitors of capacitance 3μF and 6μF are connected in parallel. What is the total capacitance?
  • A. 9μF
  • B. 2μF
  • C. 18μF
  • D. 1μF
Q. In a circuit, two capacitors of capacitance 4μF and 6μF are connected in parallel. What is the total capacitance?
  • A. 10μF
  • B. 24μF
  • C. 2.4μF
  • D. 0.4μF
Q. In a parallel combination of capacitors, how is the total capacitance calculated?
  • A. C_eq = C1 + C2 + C3
  • B. 1/C_eq = 1/C1 + 1/C2 + 1/C3
  • C. C_eq = 1/(C1 + C2 + C3)
  • D. C_eq = C1 * C2 * C3
Q. In a parallel plate capacitor, if the area of the plates is doubled while keeping the separation constant, what happens to the capacitance?
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. In a parallel plate capacitor, if the distance between the plates is doubled while keeping the charge constant, what happens to the electric potential?
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. In a parallel plate capacitor, if the distance between the plates is halved, what happens to the capacitance?
  • A. It halves
  • B. It doubles
  • C. It remains the same
  • D. It quadruples
Q. In a region of space where the electric field is uniform, what is the electric flux through a surface area A oriented perpendicular to the field?
  • A. EA
  • B. 0
  • C. E/A
  • D. A/E
Q. In a region where the electric field is uniform, how does the electric flux through a surface depend on the angle between the field and the normal to the surface?
  • A. It is maximum when the angle is 0°
  • B. It is maximum when the angle is 90°
  • C. It is independent of the angle
  • D. It is zero when the angle is 0°
Q. In a region where the electric field is uniform, what is the shape of the Gaussian surface that would yield the simplest calculation of electric flux?
  • A. Sphere
  • B. Cube
  • C. Cylinder
  • D. Plane
Q. In a uniform electric field, how does the electric potential change with distance?
  • A. Linearly
  • B. Quadratically
  • C. Exponentially
  • D. Remains constant
Q. In a uniform electric field, the equipotential surfaces are always:
  • A. Perpendicular to the field lines
  • B. Parallel to the field lines
  • C. Curved
  • D. None of the above
Q. In a uniform electric field, the equipotential surfaces are:
  • A. Curved
  • B. Straight lines
  • C. Concentric circles
  • D. Parallel planes
Q. In a uniform electric field, the potential difference between two points is directly proportional to what?
  • A. Distance between the points
  • B. Magnitude of the electric field
  • C. Both A and B
  • D. None of the above
Q. In a uniform electric field, the potential difference between two points is given by which of the following?
  • A. E × d
  • B. E/d
  • C. d/E
  • D. E + d
Q. In a uniform electric field, the potential difference between two points is given by which formula?
  • A. V = Ed
  • B. V = E/d
  • C. V = d/E
  • D. V = E × d
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