Magnetism & EMI
Q. In a transformer, if the primary coil has 200 turns and the secondary coil has 50 turns, what is the relationship between the primary and secondary voltages?
A.
Vp/Vs = 4
B.
Vp/Vs = 0.25
C.
Vp/Vs = 2
D.
Vp/Vs = 1
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Solution
The voltage ratio in a transformer is inversely proportional to the turns ratio: Vp/Vs = Np/Ns = 200/50 = 4.
Correct Answer: A — Vp/Vs = 4
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Q. In a transformer, if the primary coil has 200 turns and the secondary coil has 50 turns, what is the turns ratio?
A.
4:1
B.
1:4
C.
2:1
D.
1:2
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Solution
Turns ratio = Np/Ns = 200/50 = 4:1.
Correct Answer: B — 1:4
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Q. In a transformer, the ratio of the number of turns in the primary coil to the secondary coil determines what?
A.
The voltage transformation ratio
B.
The current transformation ratio
C.
The power transformation ratio
D.
The frequency of the output
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Solution
The voltage transformation ratio in a transformer is determined by the ratio of the number of turns in the primary coil to that in the secondary coil.
Correct Answer: A — The voltage transformation ratio
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Q. In a uniform magnetic field, the magnetic force on a charged particle is maximum when the angle between the velocity and the magnetic field is:
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
45 degrees
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Solution
The magnetic force is maximum when the angle between the velocity and the magnetic field is 90 degrees, as sin(90°) = 1.
Correct Answer: B — 90 degrees
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Q. In an AC circuit, if the capacitive reactance is greater than the inductive reactance, the circuit is said to be:
A.
Resistive
B.
Inductive
C.
Capacitive
D.
Neutral
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Solution
If capacitive reactance (X_C) is greater than inductive reactance (X_L), the circuit is capacitive.
Correct Answer: C — Capacitive
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Q. In an AC circuit, if the current lags the voltage by 30 degrees, what is the type of load?
A.
Resistive
B.
Inductive
C.
Capacitive
D.
None of the above
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Solution
If the current lags the voltage, it indicates an inductive load, as inductors cause the current to lag behind the voltage.
Correct Answer: B — Inductive
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Q. In an AC circuit, if the current lags the voltage by 30 degrees, what type of circuit is it?
A.
Resistive
B.
Inductive
C.
Capacitive
D.
None of the above
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Solution
If the current lags the voltage, it indicates an inductive circuit, where the current phase is behind the voltage phase.
Correct Answer: B — Inductive
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Q. In an AC circuit, if the current lags the voltage by 30 degrees, what type of load is present?
A.
Resistive
B.
Inductive
C.
Capacitive
D.
None of the above
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Solution
If the current lags the voltage, it indicates the presence of an inductive load, as inductors cause the current to lag behind the voltage.
Correct Answer: B — Inductive
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Q. In an AC circuit, if the current lags the voltage by 45 degrees, what is the type of load?
A.
Resistive
B.
Inductive
C.
Capacitive
D.
None of the above
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Solution
If the current lags the voltage, it indicates an inductive load, as inductors cause the current to lag behind the voltage.
Correct Answer: B — Inductive
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Q. In an AC circuit, if the frequency is doubled, what happens to the inductive reactance?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
Inductive reactance (X_L) is given by X_L = 2πfL. If the frequency (f) is doubled, X_L also doubles.
Correct Answer: B — It halves
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Q. In an AC circuit, if the frequency is doubled, what happens to the reactance of an inductor?
A.
Doubles
B.
Halves
C.
Remains the same
D.
Quadruples
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Solution
The reactance of an inductor is given by X_L = 2πfL. If frequency is doubled, reactance halves.
Correct Answer: B — Halves
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Q. In an AC circuit, if the power factor is 0.5, what is the angle between voltage and current?
A.
30 degrees
B.
60 degrees
C.
90 degrees
D.
45 degrees
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Solution
The power factor is cos(θ). If PF = 0.5, then θ = cos^(-1)(0.5) = 60 degrees.
Correct Answer: B — 60 degrees
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Q. In an AC circuit, if the power factor is 1, what type of load is present?
A.
Inductive
B.
Capacitive
C.
Resistive
D.
Reactive
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Solution
A power factor of 1 indicates a purely resistive load.
Correct Answer: C — Resistive
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Q. In an AC circuit, if the voltage is given by V(t) = V_0 sin(ωt), what is the expression for the current through a resistor R?
A.
I(t) = (V_0/R) sin(ωt)
B.
I(t) = (V_0/R) cos(ωt)
C.
I(t) = (R/V_0) sin(ωt)
D.
I(t) = (R/V_0) cos(ωt)
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Solution
For a resistor, the current is in phase with the voltage. Therefore, I(t) = V(t)/R = (V_0/R) sin(ωt).
Correct Answer: A — I(t) = (V_0/R) sin(ωt)
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Q. In an RL circuit, what is the time constant τ defined as?
A.
L/R
B.
R/L
C.
LR
D.
1/(LR)
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Solution
The time constant τ in an RL circuit is defined as τ = L/R, where L is the inductance and R is the resistance.
Correct Answer: A — L/R
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Q. In an RL circuit, what is the time constant τ?
A.
L/R
B.
R/L
C.
LR
D.
1/(LR)
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Solution
The time constant τ for an RL circuit is given by τ = L/R, where L is the inductance and R is the resistance.
Correct Answer: A — L/R
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Q. In an RLC circuit, if the resistance is increased while keeping the inductance and capacitance constant, what happens to the bandwidth?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
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Solution
The bandwidth (Δf) of an RLC circuit is inversely proportional to the resistance (R). Increasing R decreases the bandwidth.
Correct Answer: B — Decreases
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Q. In an RLC circuit, what is the condition for resonance?
A.
XL = XC
B.
R = 0
C.
L = C
D.
f = 0
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Solution
Resonance occurs when the inductive reactance (XL) equals the capacitive reactance (XC).
Correct Answer: A — XL = XC
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Q. In an RLC series circuit, if the resistance is increased while keeping the inductance and capacitance constant, what happens to the quality factor (Q)?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
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Solution
The quality factor (Q) is given by Q = (1/R)√(L/C). Increasing R decreases Q.
Correct Answer: B — Decreases
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Q. In an RLC series circuit, what is the condition for resonance?
A.
XL = XC
B.
R = 0
C.
XL > XC
D.
R > XL
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Solution
Resonance in an RLC series circuit occurs when the inductive reactance (X_L) equals the capacitive reactance (X_C), i.e., X_L = X_C.
Correct Answer: A — XL = XC
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Q. In Biot-Savart Law, what does the term 'dL' represent?
A.
Element of current
B.
Element of length
C.
Element of magnetic field
D.
Element of charge
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Solution
In Biot-Savart Law, 'dL' represents an infinitesimal element of length along the current-carrying conductor.
Correct Answer: B — Element of length
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Q. In electromagnetic induction, what is the role of the changing magnetic field?
A.
It creates a static electric field
B.
It induces a current in a conductor
C.
It has no effect
D.
It increases resistance
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Solution
A changing magnetic field induces an electromotive force (EMF) in a conductor, leading to the flow of current.
Correct Answer: B — It induces a current in a conductor
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Q. In the Biot-Savart Law, what does the term 'dl' represent?
A.
The length of the wire segment
B.
The distance from the wire to the point of interest
C.
The current flowing through the wire
D.
The angle between the wire and the point
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Solution
'dl' represents the infinitesimal length of the wire segment that contributes to the magnetic field at a point.
Correct Answer: A — The length of the wire segment
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Q. In the context of the Biot-Savart Law, what does the symbol μ₀ represent?
A.
Electric permittivity
B.
Magnetic permeability of free space
C.
Magnetic field strength
D.
Electric field strength
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Solution
The symbol μ₀ represents the magnetic permeability of free space, which is a constant used in the Biot-Savart Law.
Correct Answer: B — Magnetic permeability of free space
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Q. In the context of the Biot-Savart Law, what does the term 'current element' refer to?
A.
A small segment of wire carrying current
B.
The total current in the wire
C.
The direction of current flow
D.
The magnetic field produced by the current
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Solution
A 'current element' refers to a small segment of wire carrying current, which contributes to the overall magnetic field.
Correct Answer: A — A small segment of wire carrying current
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Q. In which direction does the magnetic field point due to a current flowing in a straight wire?
A.
Parallel to the wire
B.
Perpendicular to the wire
C.
Radially inward
D.
Radially outward
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Solution
The magnetic field lines around a straight wire are concentric circles, which are perpendicular to the wire.
Correct Answer: B — Perpendicular to the wire
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Q. In which direction does the magnetic field point in relation to the current in a straight conductor?
A.
Parallel to the current
B.
Perpendicular to the current
C.
Opposite to the current
D.
In the same direction as the current
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Solution
The magnetic field around a straight conductor is always perpendicular to the direction of the current.
Correct Answer: B — Perpendicular to the current
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Q. In which direction does the magnetic field point inside a bar magnet?
A.
From south to north
B.
From north to south
C.
In a circular path
D.
It has no direction
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Solution
The magnetic field inside a bar magnet points from the north pole to the south pole.
Correct Answer: B — From north to south
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Q. In which direction does the magnetic field point inside a current-carrying loop?
A.
Out of the plane
B.
Into the plane
C.
Clockwise
D.
Counterclockwise
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Solution
Using the right-hand rule, the magnetic field inside a current-carrying loop points into the plane of the loop.
Correct Answer: B — Into the plane
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Q. In which of the following cases is the magnetic field zero?
A.
At the center of a current-carrying loop
B.
Inside a solenoid with no current
C.
Near a straight wire carrying current
D.
At the midpoint between two parallel wires carrying equal currents in opposite directions
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Solution
The magnetic field is zero at the midpoint between two parallel wires carrying equal currents in opposite directions.
Correct Answer: D — At the midpoint between two parallel wires carrying equal currents in opposite directions
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