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https://texercises.com/exercise/voltage-peak/
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Exercise:
A coil with resistance R_c and a resistor with resistance R are connected in parallel to a VO supply. How can you choose the ratio of the two resistances in order not to let the switch-off voltage peak surpass VpeakO?

Solution:
Before switching off the current through the coil is I_c fracV_R_c Immediately after switching off the voltage supply the self-induced emf in the coil is such that the current through the coil is still the same. Since the coil is connected to the resistor the current now has to flow through the series resistance R_c+R. The induced emf is therefore mathcalE R_c+R I_c R_c+R fracV_R_c Solving for the ratio R:R_c leads to fracRR_c ratioF fracVpeak-VV ratio approx resultratioP
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Exercise:
A coil with resistance R_c and a resistor with resistance R are connected in parallel to a VO supply. How can you choose the ratio of the two resistances in order not to let the switch-off voltage peak surpass VpeakO?

Solution:
Before switching off the current through the coil is I_c fracV_R_c Immediately after switching off the voltage supply the self-induced emf in the coil is such that the current through the coil is still the same. Since the coil is connected to the resistor the current now has to flow through the series resistance R_c+R. The induced emf is therefore mathcalE R_c+R I_c R_c+R fracV_R_c Solving for the ratio R:R_c leads to fracRR_c ratioF fracVpeak-VV ratio approx resultratioP
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Magnetism
Tags
electromagnetic induction, self-induced emf
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Difficulty
(2, default)
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0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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