4. A bulb is joined to a battery of e.m.f 6V. A steady current of 0.5 A flows through circuit. Calculate the total energy provided by the battery in 5 minutes.
Energy = P*t = 6*0.5 * 5/60 = 0.25 Watt-hours.
To calculate the total energy provided by the battery in 5 minutes, we first need to find the power consumed by the bulb and then multiply it by the time.
Here's how we can do it step by step:
Step 1: Find the power consumed by the bulb.
The power consumption can be calculated using the formula:
Power (P) = Current (I) x Voltage (V)
Here, the current flowing through the circuit is 0.5 A, and the voltage provided by the battery is 6V.
So, the power consumed by the bulb can be calculated as:
P = 0.5 A x 6 V
Step 2: Calculate the total energy consumed by the bulb.
The energy consumed can be calculated using the formula:
Energy (E) = Power (P) x Time (t)
Here, the time is given to be 5 minutes, but we need to convert it to seconds as the unit of power is watts (W).
So, 5 minutes = 5 x 60 seconds = 300 seconds.
So, the total energy consumed by the bulb can be calculated as:
E = P x t
Now, let's substitute the values:
E = (0.5 A x 6 V) x 300 s
Step 3: Calculate the final result.
Simply multiply the values to find the total energy consumed:
E = 0.5 A x 6 V x 300 s
Evaluating the expression:
E = 90 J
Therefore, the total energy provided by the battery in 5 minutes is 90 Joules.