6 electric lamps connected in parallel at 100 volt explain how they are connected to operate at 200 volts without spoiling them.find the total current intensity in the circuit if the resistance of each lamp 240 Ohm
To operate the lamps at 200 volts without spoiling them, you cannot simply connect them in parallel. Instead, you will need to connect them in series. Here's how you can achieve this:
1. Step 1: Calculate the equivalent resistance. Since all the lamps have the same resistance (240 Ohms), the equivalent resistance in a series circuit is equal to the sum of the individual resistances. In this case, there are 6 lamps, so the equivalent resistance (R_eq) is calculated as:
R_eq = 240 + 240 + 240 + 240 + 240 + 240 = 1440 Ohms.
2. Step 2: Determine the total current intensity (I) in the circuit. Using Ohm's law (V = I * R), where V is the voltage and R is the resistance, we can find the current by rearranging the formula as:
I = V / R_eq.
Since V is 200 volts and R_eq is 1440 Ohms, we can substitute these values into the formula:
I = 200 / 1440 = 0.1389 Amps (rounded to four decimal places).
So, the total current intensity in the circuit would be approximately 0.1389 Amps.
It's important to note that before connecting the lamps in series, make sure they are rated for 200 volts to avoid damaging them.