electric bulb 50W-100V glowing at full power are to be used in parallel with battery 120V,10ohm . maximum no. of bulbs that can be connected so that they glow in full power?

To determine how many 50W-100V electric bulbs can be connected in parallel with a 120V battery while ensuring they glow at full power, we need to analyze the electrical characteristics of both the bulbs and the battery. Let’s break this down step by step.

Understanding the Bulb Specifications

Each bulb is rated at 50 watts and operates optimally at 100 volts. To find the current drawn by each bulb when it is functioning at full power, we can use the formula:

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

Rearranging this gives us:

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

Substituting the values for one bulb:

• I = 50W / 100V = 0.5A

Calculating the Total Current from the Battery

Next, we need to consider the battery specifications. The battery provides 120V and has an internal resistance of 10 ohms. The maximum current that the battery can supply can be calculated using Ohm's Law:

• Voltage (V) = Current (I) × Resistance (R)

Rearranging gives us:

• Current (I) = Voltage (V) / Resistance (R)

Substituting the values for the battery:

• I = 120V / 10Ω = 12A

Determining the Number of Bulbs

Now that we know the battery can supply a maximum of 12A, we can find out how many bulbs can be connected in parallel without exceeding this current limit. Since each bulb draws 0.5A, we can calculate the maximum number of bulbs:

• Maximum Number of Bulbs = Total Current / Current per Bulb

Substituting the values:

• Maximum Number of Bulbs = 12A / 0.5A = 24 bulbs

Conclusion

In summary, you can connect a maximum of 24 bulbs in parallel to the 120V battery while ensuring that they all glow at full power. This setup allows each bulb to operate at its rated voltage and current without overloading the battery. Always remember to check the specifications and ensure that the total current does not exceed the limits of your power source for safe operation.