Questions: Ohm's law is often written in the form I=E/R where I is the current in amperes (A), E is the voltage, and R is the resistance in ohms. What is the voltage necessary to push a 0.70 -A current through a resistance of 420 ohms? The voltage necessary to push a 0.70 -A current through a resistance of 420 ohms is volts.

Ohm's law is often written in the form I=E/R where I is the current in amperes (A), E is the voltage, and R is the resistance in ohms. What is the voltage necessary to push a 0.70 -A current through a resistance of 420 ohms?

The voltage necessary to push a 0.70 -A current through a resistance of 420 ohms is volts.
Transcript text: Ohm's law is often written in the form $I=\frac{E}{R}$ where $I$ is the current in amperes (A), $E$ is the voltage, and $R$ is the resistance in ohms. What is the voltage necessary to push a 0.70 -A current through a resistance of 420 ohms? The voltage necessary to push a 0.70 -A current through a resistance of 420 ohms is $\square$ volts.
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Solution

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Solution Steps

Step 1: Identify the given values

We are given the current \( I = 0.70 \) A and the resistance \( R = 420 \) ohms. We need to find the voltage \( E \).

Step 2: Use Ohm's Law

Ohm's Law is given by: \[ I = \frac{E}{R} \]

Step 3: Rearrange the formula to solve for voltage

Rearrange the formula to solve for \( E \): \[ E = I \times R \]

Step 4: Substitute the given values

Substitute \( I = 0.70 \) A and \( R = 420 \) ohms into the equation: \[ E = 0.70 \times 420 \]

Step 5: Calculate the voltage

Perform the multiplication: \[ E = 294 \]

Final Answer

The voltage necessary to push a 0.70-A current through a resistance of 420 ohms is \(\boxed{294}\) volts.

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