Electric Potential & Capacitance Quiz

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For the Coulomb constant, use k = 8.99×109 N·m2/C2. For the permittivity of free space, use ε0 = 8.85×10-12 C2/N·m2.
Assume capacitor plates are in a vacuum (κ = 1) unless the problem states otherwise.
Make sure you use the correct sign for each answer!

Please try to get within 1% of the correct answer. You can enter your answers in decimal notation, or you can enter them in scientific notation using 'E' or 'x 10^' for the power of 10 (e.g., enter 6.02 x 1023 as 6.02E23 or 6.02x10^23).

# Problem Answer
1. Given:
electric potential (V): -1 × 106 V
distance (r): 5.8 × 10-5 m

Wanted: point charge (q) in C?
 C
2. Given:
point charge (q): 1.60 × 10-12 C
distance (r): 4.9 × 10-5 m

Wanted: electric potential (V) in V?
 V
3. Given:
electric field strength (E): 1200 V/m
distance (r): 0.005 m

Wanted: difference in electric potential (ΔV) in V?
 V
4. Given:
electric field strength (E): 2000 V/m
charge (Q): 2 × 10-10 C
distance between plates (d): 0.0039 m

Wanted: capacitance (C) in F?
 F
5. Given:
energy (U): 3.2 × 10-17 J

Wanted: energy (U) in electronvolts?
 eV
6. Given:
energy (U): 1.60 × 10-15 J

Wanted: energy (U) in electronvolts?
 eV
7. Given:
point charge (q): 1 × 10-7 C
difference in electric potential (ΔV): -33 V

Wanted: work (W) in J?
 J
8. Given:
charge (Q): 4.4 × 10-8 C
area of plates (A): 0.072 m2

Wanted: electric field strength (E) in V/m?
 V/m
9. Given:
electric field strength (E): 40000 V/m
distance (r): 0.008 m

Wanted: difference in electric potential (ΔV) in V?
 V
10. Given:
electric field strength (E): 1 × 106 V/m
capacitance (C): 4.3 × 10-9 F
distance between plates (d): 9.6 × 10-4 m
dielectric constant (κ): 7 

Wanted: charge (Q) in C?
 C

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