SATHEE: Electro Magnetic Induction And Alternating Currents Question 343

Electro Magnetic Induction And Alternating Currents Question 343

Question: A conducting rod AC of length 4l is rotated about a point O in a uniform magnetic field $\vec{B}$ directed into the paper. AO = l and OC = 3l. Then

Options:

A) $V_{A} - V_{O} = \frac{B ω l^{2}}{2}$

B) $V_{O} - V_{C} = \frac{7}{2} B ω l^{2}$

C) $V_{A} - V_{C} = 4 B ω l^{2}$

D) $V_{C} - V_{O} = \frac{9}{2} B ω l^{2}$

Show Answer

Answer:

Correct Answer: C

Solution:

By using

$e = \frac{1}{2} B l^{2} ω$

For part AO ; $e_{O A} = e_{O} - e_{A} = \frac{1}{2} B l^{2} ω$

For part OC; $e_{O C} = e_{O} - e_{C} = \frac{1}{2} B {(3 l)}^{2} ω$

$∴ e_{A} - e_{C} = 4 B l^{2} ω$

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Electro Magnetic Induction And Alternating Currents Question 343

Question: A conducting rod AC of length 4l is rotated about a point O in a uniform magnetic field B→ directed into the paper. AO = l and OC = 3l. Then

Options:

Answer:

Solution:

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Question: A conducting rod AC of length 4l is rotated about a point O in a uniform magnetic field $\vec{B}$ directed into the paper. AO = l and OC = 3l. Then