Solve the Problem $\mathrm { V } _ { \mathrm { C } } = - \frac { 1 } { 2 \pi \mathrm { f } } \cos 2 \pi \mathrm { ft }$

question 330

Multiple Choice

Solve the problem.
-In the study of alternating electric current, capacitive voltage is given by $\mathrm { V } _ { \mathrm { C } } = - \frac { 1 } { 2 \pi \mathrm { f } } \cos 2 \pi \mathrm { ft }$ , 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) \(t = 2 \pi f \arccos \left( - \frac { 2 \pi \mathrm { fV } _ { \mathrm { C } } } { \mathrm { i } } \right)\)
• B) \(t = \frac { 1 } { 2 \pi \mathrm { f } } \arccos \left( \frac { 2 \pi \mathrm { fV } _ { \mathrm { C } } } { \mathrm { i } } \right)\)
• C) \(t = 2 \pi f \cos \left( - \frac { 2 \pi \mathrm { fV } _ { \mathrm { C } } } { \mathrm { i } } \right)\)
• D) \(t = \frac { 1 } { 2 \pi f } \arccos \left( - \frac { 2 \pi \mathrm { fV } _ { \mathrm { C } } } { \mathrm { i } } \right)\)

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Definitions:

Instrumental Conditioning

A learning process in which behavior is modified by the consequences of actions, focusing on the use of rewards and punishments.

Positive Outcomes

Favorable results or benefits resulting from particular actions, behaviors, or interventions.

Instrumental Conditioning

A learning process wherein behavior is modified by the consequences of the behavior, with reinforcement used to increase desirable behaviors and punishment to decrease undesirable ones.

Classical Conditioning

The process of acquiring knowledge by forming connections between a stimulus found in the surroundings and one that arises on its own, which leads to the development of a learned reaction.