QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
Problem 4.
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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Step 1Let's solve this problem step by step, using the appropriate electromagnetic induction principles.
- Total resistance: $$R = 8.00 \Omega
Given information: - Number of loops: 20
Step 2: Calculate the Area of the Coil
- Area of the coil: $$A = a \times b = (8.00 \times 10^{-2} \mathrm{m}) \times (12.0 \times 10^{-2} \mathrm{m}) = 9.60 \times 10^{-3} \mathrm{m}^{2}
Final Answer
- Induced EMF varies from 0 to - 0.24 V depending on coil position - Induced current varies from 0 to 0.03 A - Current is counterclockwise when flux is changing
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