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.
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.
Solution
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.