Solve the Equation for Exact Solutions $$V _ { C } = - \frac { i } { 2 \pi f } \cos 2 \pi f t$$

question 237

Multiple Choice

Solve the equation for exact solutions.
-In the study of alternating electric current, capacitive voltage is given by $$V _ { C } = - \frac { i } { 2 \pi f } \cos 2 \pi f t$$ where f is the number of cycles per second, i is the maximum current, and t is the time in seconds. Solve the equation for t.

• A) \(t = 2 \pi f \cos \left( - \frac { 2 \pi f V c } { i } \right)\)
• B) \(t = 2 \pi f \arccos \left( - \frac { 2 \pi \mathrm { fVc } } { \mathrm { i } } \right)\)
• C) \(\mathrm { t } = \frac { 1 } { 2 \pi \mathrm { f } } \arccos \left( \frac { 2 \pi \mathrm { fVc } } { \mathrm { i } } \right)\)
• D) \(t = \frac { 1 } { 2 \pi f } \arccos \left( - \frac { 2 \pi f V c } { i } \right)\)

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