Question

A lamp takes 10 a at 250 v and emits 16000 lumens. determine its mean spherical candle power (mscp).

Answer 1

The mean spherical candle power (mscp) of a lamp that emits 16000 lumens is approximately 1273.24 candle power.

Step-by-step explanation:

To determine the mean spherical candle power (mscp) of a lamp that takes 10 A at 250 V and emits 16000 lumens, we can use the formula for calculating mscp, which is the total luminous flux in lumens divided by 4π (since a sphere has a surface area of 4πr^2). The mean spherical candle power is then given by mscp = total lumens / (4π).

So, mscp = 16000 lumens / (4π) = 16000 / 12.566370614359172953850573533118 = 1273.2395447351628 candle power.

This is the average intensity in all directions, which is what the mean spherical candle power represents.

Answer 2

The mean spherical candlepower (MSCP) of the lamp is approximately 1273.24 lumens.

To determine the mean spherical candlepower (MSCP) of a lamp, you can use the formula:

MSCP = (Total Luminous Flux in Lumens) / (4π)

Here's how you can calculate it step by step:

1. First, you have the total power consumption of the lamp, which is 10 A at 250 V. You can calculate the power in watts (W) using the formula:

Power (W) = Voltage (V) × Current (A)

Power (W) = 250 V × 10 A = 2500 W

So, the lamp consumes 2500 watts of electrical power.

2. Next, you know that the lamp emits 16,000 lumens of light.

3. Now, use the formula for MSCP to calculate it:

MSCP = (Total Luminous Flux in Lumens) / (4π)

MSCP = 16,000 lumens / (4π)

To calculate this, you can use an approximation for π as 3.1416:

MSCP ≈ 16,000 lumens / (4 × 3.1416)

MSCP ≈ 16,000 lumens / 12.5664

MSCP ≈ 1273.24 lumens