To calculate the resistance given the current and voltage, we can use Ohm's Law. Ohm's Law states that the resistance (R) in an electrical circuit is equal to the voltage (V) divided by the current (I).
Here are the steps:
1. Identify the given values:
- Current (I) = 6 Amperes (A)
- Voltage (V) = 420 Volts (V)
2. Write down the formula for Ohm's Law:
[tex]\[
R = \frac{V}{I}
\][/tex]
3. Substitute the given values into the formula:
[tex]\[
R = \frac{420 \, \text{V}}{6 \, \text{A}}
\][/tex]
4. Perform the division to find the resistance:
[tex]\[
R = 70 \, \text{Ohms} (\Omega)
\][/tex]
Thus, the resistance in the circuit is 70 Ohms.
