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

Question 23

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=t2252t29t5 and R=t+5t2V = \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=t22t+1I = \frac { t ^ { 2 } } { 2 t + 1 }
B) I=2t+1t2I = \frac { 2 t + 1 } { t ^ { 2 } }
C) I=t22t1I = \frac { t ^ { 2 } } { 2 t - 1 }
D) I=t22t9t5I = \frac { t ^ { 2 } } { 2 t - 9 t - 5 }
E) I=t2252t+9I = \frac { t ^ { 2 } - 25 } { 2 t + 9 }

Correct Answer:

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