A transformer has 25 turns in the primary coil and 200 turns in the secondary coil. If 12 V is connected to the primary coil and a 20-Ù device is connected to the secondary coil, calculate the current in Amperes passing through the device.
To calculate the current passing through the device, we can use the formula:
Current (I) = Voltage (V) / Resistance (R)
First, let's calculate the voltage across the secondary coil. Since the transformer is connected in a ratio of primary to secondary turns, we can use the formula:
Voltage (secondary) / Voltage (primary) = Turns (secondary) / Turns (primary)
Let's plug in the values we have:
Voltage (secondary) / 12 V = 200 turns / 25 turns
Simplifying the equation:
Voltage (secondary) / 12 V = 8
Now, let's solve for the voltage across the secondary coil:
Voltage (secondary) = 12 V * 8 = 96 V
Now that we know the voltage across the secondary coil is 96 V, we can calculate the current passing through the device connected to the secondary coil. The resistance of the device is given as 20 Ω:
Current (I) = Voltage (V) / Resistance (R)
= 96 V / 20 Ω
Simplifying the equation:
Current (I) = 4.8 A
Therefore, the current passing through the device connected to the secondary coil is 4.8 Amperes.