Q. If two point charges, +Q and -Q, are separated by a distance d, what is the magnitude of the electric field (E) at the midpoint?
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A.
E = 0
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B.
E = k * Q / (d/2)^2
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C.
E = k * Q / d^2
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D.
E = k * Q / (d^2/4)
Solution
At the midpoint, the electric fields due to both charges cancel each other out, resulting in E = 0.
Correct Answer:
A
— E = 0
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Q. In a series circuit with two resistors R1 and R2, what is the total resistance (R_total)?
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A.
R_total = R1 + R2
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B.
R_total = R1 * R2 / (R1 + R2)
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C.
R_total = R1 - R2
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D.
R_total = R1 / R2
Solution
In a series circuit, the total resistance is simply the sum of the individual resistances: R_total = R1 + R2.
Correct Answer:
A
— R_total = R1 + R2
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Q. In an AC circuit, what is the relationship between voltage (V), current (I), and impedance (Z)?
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A.
V = I * Z
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B.
I = V * Z
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C.
Z = V / I
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D.
Z = I / V
Solution
In an AC circuit, the voltage is related to current and impedance by V = I * Z.
Correct Answer:
A
— V = I * Z
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Q. What is the capacitance (C) of a parallel plate capacitor with area A and separation d?
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A.
C = ε * A / d
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B.
C = A / (ε * d)
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C.
C = ε * d / A
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D.
C = A * d / ε
Solution
The capacitance of a parallel plate capacitor is given by C = ε * A / d, where ε is the permittivity of the dielectric.
Correct Answer:
A
— C = ε * A / d
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Q. What is the electric field (E) due to a uniformly charged infinite plane sheet with surface charge density (σ)?
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A.
E = σ / (2 * ε)
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B.
E = σ / ε
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C.
E = σ / (4 * π * ε)
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D.
E = 0
Solution
The electric field due to a uniformly charged infinite plane sheet is E = σ / (2 * ε).
Correct Answer:
A
— E = σ / (2 * ε)
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Q. What is the equivalent resistance (R_eq) of two resistors R1 and R2 in parallel?
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A.
1/R_eq = 1/R1 + 1/R2
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B.
R_eq = R1 + R2
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C.
R_eq = R1 * R2
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D.
R_eq = R1 - R2
Solution
For resistors in parallel, the equivalent resistance is given by 1/R_eq = 1/R1 + 1/R2.
Correct Answer:
A
— 1/R_eq = 1/R1 + 1/R2
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Q. What is the formula for the total capacitance (C_total) of capacitors in series?
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A.
1/C_total = 1/C1 + 1/C2
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B.
C_total = C1 + C2
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C.
C_total = C1 * C2
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D.
C_total = C1 - C2
Solution
For capacitors in series, the total capacitance is given by 1/C_total = 1/C1 + 1/C2.
Correct Answer:
A
— 1/C_total = 1/C1 + 1/C2
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Q. What is the potential difference across a capacitor (C) charged to a charge (Q)?
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A.
V = Q / C
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B.
V = C / Q
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C.
V = Q * C
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D.
V = C * Q
Solution
The potential difference across a capacitor is given by V = Q / C.
Correct Answer:
A
— V = Q / C
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