An electric heater calibrated 1-5-kW- 230-V is connected to a household branch circuit having 5 A fuse wire and is- made to work- What will happen-

Question

Toppr Admin · Accepted Answer

Given-The power rating of the electric heater- -P-1-5- kW-1500- W-Voltage- -V-230- V-Safe current rating of fuse wire- -I-safe-5- A-We know-P-VI-implies I - -dfrac PV-implies I - -dfrac -1500-230-I-6-52- A-I-gt I-fuse-therefore the fuse wire will burn-

An electric heater calibrated $$1.5\,kW, 230\,V$$ is connected to a household branch circuit having $$5$$ A fuse wire and is, made to work. What will happen?

Given,
The power rating of the electric heater, $$P=1.5\ kW=1500\ W$$
Voltage, $$V=230\ V$$
Safe current rating of fuse wire, $$I_{safe}=5\ A$$

We know,
$$P=VI$$

$$\implies I = \dfrac PV$$

$$\implies I = \dfrac {1500}{230}$$

$$I=6.52\ A$$

$$I\gt I_{fuse}$$
$$\therefore the fuse wire will burn$$

An electric heater calibrated $$1.5\,kW, 230\,V$$ is connected to a household branch circuit having $$5$$ A fuse wire and is, made to work. What will happen?

Given,The power rating of the electric heater, $$P=1.5\ kW=1500\ W$$Voltage, $$V=230\ V$$Safe current rating of fuse wire, $$I_{safe}=5\ A$$We know,$$P=VI$$$$\implies I = \dfrac PV$$$$\implies I = \dfrac {1500}{230}$$$$I=6.52\ A$$$$I\gt I_{fuse}$$$$\therefore the fuse wire will burn$$