What is the resistance of a component if it develops 23MW when 23kV is applied to it?
Question
What is the resistance of a component if it develops 23MW when 23kV is applied to it?
Solution
To find the resistance, we can use Ohm's law which states that Voltage (V) = Current (I) * Resistance (R). However, we need to find the current first. Power (P) = Voltage (V) * Current (I). So, we can rearrange to find Current (I) = Power (P) / Voltage (V).
Step 1: Convert the power and voltage to the same units. Here, we have power in MegaWatts (MW) and voltage in kiloVolts (kV). Let's convert MW to kW and kV to V for simplicity. So, 23MW = 23000kW and 23kV = 23000V.
Step 2: Calculate the current using the formula Current (I) = Power (P) / Voltage (V). So, I = 23000kW / 23000V = 1kA (kiloAmperes).
Step 3: Now, we can find the resistance using Ohm's law. Rearranging Ohm's law, we get Resistance (R) = Voltage (V) / Current (I). So, R = 23000V / 1kA = 23 Ohms.
So, the resistance of the component is 23 Ohms.
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