The Current, I, in an Electrical Circuit Is Found by Dividing

question 27

Multiple Choice

The current, I, in an electrical circuit is found by dividing the voltage, V, by the resistance, R. Suppose the voltage and resistance vary with time as in the following equations. $$V = \frac { t ^ { 2 } - 25 } { 2 t ^ { 2 } - 9 t - 5 } \text { and } R = \frac { t + 5 } { t ^ { 2 } }$$ Assume there are no zero denominators. Find a formula in terms of t that gives the current, I.

• A) \(I = \frac { t ^ { 2 } } { 2 t + 1 }\)
• B) \(I = \frac { 2 t + 1 } { t ^ { 2 } }\)
• C) \(I = \frac { t ^ { 2 } } { 2 t - 1 }\)
• D) \(I = \frac { t ^ { 2 } } { 2 t - 9 t - 5 }\)
• E) \(I = \frac { t ^ { 2 } - 25 } { 2 t + 9 }\)

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