A water heater rated 40watts is connected to an A.C source of 220volts. If an unknown value of current flows through the system for 30 minutes. Determine:
1. The work done by the system
2. The current flowing through the system
1. The work done by the system can be calculated using the formula: W = P x t, where W is the work done in Joules, P is the power in watts, and t is the time in seconds.
Given that the power of the water heater is 40 watts and the time is 30 minutes (which is equivalent to 1800 seconds), we can calculate the work done as follows:
W = 40 watts x 1800 seconds
W = 72000 Joules
Therefore, the work done by the system is 72000 Joules.
2. The current flowing through the system can be calculated using the formula: I = P / V, where I is the current in amperes, P is the power in watts, and V is the voltage in volts.
Given that the power of the water heater is 40 watts and the voltage is 220 volts, we can calculate the current as follows:
I = 40 watts / 220 volts
I = 0.1818 amperes
Therefore, the current flowing through the system is approximately 0.1818 amperes.