A wire is $1.0\, m$ long, $0.2\, mm$ in diameter and has a resistance of $10 \, \Omega$. Calculate the resistivity of its material.
Write Joule's law of heating.
$(a)$ What is meant by saying that the potential difference between two points is $1$ volt ?
$(b)$ Why does the connecting cord of an electrical heater not glow while the heating element does ?
$(c)$ Electrical resistivities of some substance at $20^{\circ} C$ are given below
Silver | $1.60 \times 10^{-8}\, \Omega m$ |
Copper | $1.62 \times 10^{8} \,\Omega$ |
Tungsten | $5.2 \times 10^{-8} \,\Omega m$ |
Iron | $10.0 \times 10^{8} \,\Omega m$ |
Mercury | $94.0 \times 10^{-8}\, \Omega m$ |
Nichrome | $100 \times 10^{-6}\, \Omega m$ |
Answer the following questions in relation to them
$(i)$ Among silver and copper which one is better conductor ? Why ?
$(ii)$ Which material would you advise to use in electrical heating device ? Why ?
What happens to the resistance of a conductor when the length of the conductor is reduced to half ?
Study the $V - I$ graph for a resistor as shown in the figure and prepare a table showing the values of $I$ (in amperes) corresponding to four different values of $V$ (in volts). Find the value of current $I$ (amperes) for $V=10$ volts. How can we determine the resistance of the resistor from this graph ?