Question

question 5 of 20 : select the best answer for the question. 5. the magnitude of the voltage induced in a conductor moving through a stationary magnetic field depends on the ______ of the conductor. a. length and speed b. color and capacitance c. distance and circumference d. resistance and current mark for review (will be highlighted on the review page) << previous question next question >>

Explanation:

To determine the correct answer, we recall the principle of electromagnetic induction (Faraday's law and the formula for motional emf, \( \mathcal{E} = BLv \), where \( B \) is the magnetic field strength, \( L \) is the length of the conductor, and \( v \) is the speed of the conductor). The induced voltage (emf) in a conductor moving through a magnetic field depends on the length of the conductor (\( L \)) and its speed (\( v \)) relative to the field.

• Option A: Length and speed match the factors in the motional emf formula.
• Option B: Color (a physical property irrelevant to induction) and capacitance (related to charge storage, not induction) are incorrect.
• Option C: Distance and circumference are not factors in induced voltage for a moving conductor.
• Option D: Resistance and current relate to Ohm's law (after emf is induced) but not to the magnitude of the induced voltage itself.

Answer:

A. length and speed