Gce Model Questions Vol1 2023 Physics Question 43

Practice objective / multiple choice question 43 from the 2023 Gce Model Questions Vol1 Physics examination.

Gce Model Questions Vol1 2023 Physics Objective / Multiple Choice Hard Difficulty
Question 43 GCE_MODEL_QUESTIONS_VOL1 • 2023 • PHYSICS • objective

A long solenoid of length \(0.50\,\text{m}\) contains \(800\) turns and has a radius of \(2.0\,\text{cm}\). The current varies with time as \(I(t)=I_0\sin(\pi t)\) where \(I_0=5\,\text{A}\) and \(t\) is in seconds.\n(a) Write an expression for the magnetic field inside the solenoid as a function of time.\n(b) A single circular loop of radius \(3.0\,\text{cm}\) is placed coaxially at the centre of the solenoid. Find the magnitude of the induced emf in the loop at \(t=0.25\,\text{s}\).\n(c) If the loop has a resistance of \(2.0\,\Omega\), calculate the induced current at that instant.

Answer Options

A. B(t)=0.0032 sin(πt) T; emf ≈6.3×10⁻⁴ V; induced current ≈3.2×10⁻⁴ A
B. B(t)=0.0064π sin(πt) T; emf ≈1.3×10⁻⁴ V; induced current ≈6.5×10⁻⁵ A
Correct Answer C. B(t)=0.0032π sin(πt) T; emf ≈6.3×10⁻⁵ V; induced current ≈3.2×10⁻⁵ A
D. B(t)=0.0016π sin(πt) T; emf ≈3.2×10⁻⁵ V; induced current ≈1.6×10⁻⁵ A
Correct Answer
C
Correct Option:
B(t)=0.0032π sin(πt) T; emf ≈6.3×10⁻⁵ V; induced current ≈3.2×10⁻⁵ A

About This Question

This is Gce Model Questions Vol1 2023 Physics Question 43. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Physics examination.

Difficulty level: Hard .

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