QQuestionPhysics
QuestionPhysics
A rectangular coil containing 20 loops (turns) is moving with a constant speed of $5.00 \mathrm{~cm} / \mathrm{s}$ toward a region containing a uniform magnetic field of 3.00 T pointing into the page. The dimensions of the coil are $a=$ 8.00 cm and $b= 12.0 \mathrm{~cm}$. The coil has a total resistance of $8.00 \Omega$.
(a) Consider four different situations: the coil is completely outside the field, half the coil has entered the field, the coil is entirely within the field, $75 \%$ of the coil has exited the field. In each of the four situations, determine the induced emf and induced current in the coil. If the current is non-zero, use Lenz's law to determine if it is clockwise or counterclockwise.
(b) Compare the situation when half the coil has entered the field to the one when only $25 \%$ of it has entered the field. Explain why the induced emf is the same in both cases.
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Answer
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Step 1I'll solve this problem step by step, carefully following the LaTeX formatting guidelines:
Step 2: Calculate the Area of the Coil
- Number of loops: $$N = 20
- Area of the coil: A = a \times b = (0.0800 \mathrm{~m}) \times (0.120 \mathrm{~m}) = 9.60 \times 10^{- 3} \mathrm{~m}^{2}
Final Answer
(a) See the detailed calculations in Step 3 (b) The induced EMF is the same because the rate of change of magnetic flux is constant during the linear motion of the coil.
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