Solve the Problem $$\mathrm { V } _ { \mathrm { C } } = - \frac { \mathrm { i } } { 2 \pi \mathrm { f } } \cos 2 \pi \mathrm { ft } \text {, }$$

question 324

Multiple Choice

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

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

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