$\"\"$

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The current in a circuit $\"\"$ is $\"\"$ and the impedance $\"\"$ is $\"\"$ .

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Find the Current.

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$\"\"$ (Formula for voltage)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Multiply the conjugates $\"\"$ is $\"\"$ )

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$\"\"$ (Multiply)

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FOIL method:

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The product of two binomials is the sum of the products of the first terms, the outer terms, the inner terms and the last terms.

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$\"\"$

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$\"\"$ (Multiply)

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$\"\"$ (Substitute: $\"\"$ )

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$\"\"$ (Add)

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$\"\"$ (Simplify)

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The current is $\"\"$ . $\"\"$

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The current is $\"\"$ .