In a household electric circuit different appliances are connected in parallel to one another. Give two reasons for this. An electrician puts a fuse of rating $5 \,A$ in that part of domestic electrical circuit in which an electrical heater of rating $1.5\, kW , 220 \,V$ is operating. What is likely to happen in this case and why ? What change, if any, needs to be made ?
$(a)$ Reasons
$(i)$ Each appliance will be at the same potential i.e., voltage.
$(ii)$ If one of the appliances fail, the others will still keep working. Rating of fuse $5 A$
$V =220 V , P =1.5 kW =1500 W$
Current in the circuit $I=\frac{P}{V}=\frac{1500}{220}=6.8 A$
The current in the circuit is more than the rating of the fuse. Therefore, the fuse will blow off. A fuse of rating of about $10\, A$ should be put in the circuit.
Why is much less heat generated in long electric cables than in filaments of electric bulbs ?
A wire of length $L$ and resistance $R$ is stretched so that the length is doubled and area of cross-section is halved. How will its
$(a)$ resistance change ?
$(b)$ resistivity change ?
Which one of the following is true according to Ohm's law?
Find out the following in the electric circuit given in figure
$(a)$ Effective resistance of two $8\, \Omega$ resistors in the combination.
$(b)$ Current flowing through $4\, \Omega$ resistor.
$(c)$ Potential difference across $4\, \Omega$ resistor.
$(d)$ Power dissipated in $4\, \Omega$ resistor.
$(e)$ Difference in ammeter readings, if any.
What are the factors on which heat dissipated by a conductor depends ?