A 6 volts 125 Ah lead acid battery is to be charged from 200 volts d.c. supply at the rate 8 amp. Find out the no. of lamps required of 150w connected in the circuit ?

To determine how many 150-watt lamps can be connected in the circuit while charging a 6-volt, 125 Ah lead-acid battery from a 200-volt DC supply at a rate of 8 amps, we need to analyze the power requirements and the total current available in the circuit.

Understanding the Power and Current Requirements

First, let's calculate the power needed to charge the battery. The charging voltage for a lead-acid battery is typically higher than its nominal voltage. For a 6-volt battery, the charging voltage can be around 7.2 volts (this can vary based on the specific battery and charging conditions). However, for this calculation, we will focus on the current and the total power available.

Calculating Power Supplied by the DC Source

The power supplied by the 200-volt DC source can be calculated using the formula:

• Power (P) = Voltage (V) × Current (I)

In this case:

• Voltage (V) = 200 volts
• Current (I) = 8 amps

So, the total power supplied is:

• P = 200 V × 8 A = 1600 watts

Power Consumption of the Lamps

Next, we need to calculate how much power each lamp consumes. Each lamp is rated at 150 watts. If we denote the number of lamps as N, the total power consumed by the lamps can be expressed as:

• Total Power for Lamps = N × 150 watts

Finding the Number of Lamps

To find the maximum number of lamps that can be connected without exceeding the power supplied by the DC source, we set up the following equation:

• 1600 watts (total power from the source) = N × 150 watts (total power for lamps)

Now, solving for N gives us:

• N = 1600 watts / 150 watts = 10.67

Since we cannot have a fraction of a lamp, we round down to the nearest whole number. Therefore, the maximum number of 150-watt lamps that can be connected is:

• N = 10 lamps

Conclusion

In summary, while charging a 6-volt, 125 Ah lead-acid battery from a 200-volt DC supply at a rate of 8 amps, you can connect a maximum of 10 lamps rated at 150 watts each in the circuit. This ensures that the total power consumption does not exceed the power supplied by the source, allowing for efficient operation.