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‘i. What is the mathematical relationship between current,
resistance, and voltage? 2. What is the — (total resistance) of the
_ shown at left? Gizmo Warm-up In the Circuits Gizmo, you learned how to use _:
i= V/R, to determine the current in parallel and series
circuits. But how do you find the resistance and current in a
complex circuit that has both series and parallel elements? First, review how to find the equivalent resistance of a
—. Use the Advanced Circuits Gizmo to
construct the parallel circuit shown at right, using a 1U—ohm
and a 20-ohm resistor. Set the Selected battery voltage
to 20 volts. 1. Move the Ammeter next to the battery. What is the current? 2. Based on Ohm's law, what is the equivalent resistance in the circuit? 3. You can calculate the equivalent resistance of a parallel circuit using the following equation: 1 1 1 1 1
= —+—+—+...+—
RTotai R1 R2 R3 Rn Based on this equation, what is the equivalent resistance of the circuit?

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