Question
Solve for I. Express your answer in simplest and exact form. L=c^2I^2RqforIgt 0 I=square
Solution
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NicholasElite · Tutor for 8 years
Answer
Here's how to solve for I:<br /><br />1. **Isolate the term with 'I':** Divide both sides of the equation by *c²Rq* to get *I²* by itself:<br /><br /> L / (c²Rq) = I²<br /><br />2. **Take the square root of both sides:** Since we're told *I > 0*, we only need the positive square root:<br /><br /> I = √[L / (c²Rq)]<br /><br />3. **Simplify:** The expression can be simplified further by separating the terms under the square root:<br /><br /> I = √L / √(c²Rq) = √L / (c√(Rq))<br /><br />Therefore, the solution is:<br /><br />$I = \frac{\sqrt{L}}{c\sqrt{Rq}}$ or equivalently $I = \sqrt{\frac{L}{c^2Rq}}$<br />
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