$100 \,J$ of heat is produced each second in a $4\, \Omega$ resistance. Find the potential difference across the resistor.
Given $\quad H=100 J ; R =4 \Omega, t=1 s , V =?$
We know that $H = I ^{2} R t$, therefore,
$I=\sqrt{\frac{H}{R t}}=\sqrt{\frac{100}{4 \times 1}}=5 A$
Thus, the potential difference across the resistor,
$V = IR$
$=5 \times 4=20 V$
A torch bulb is rated $5\, V$ and $500\,mA.$ Calculate its $(i)$ power $(ii)$ resistance and $(iii)$ energy consumed when it is lighted for $4$ hours.
Three resistors of $5\, \Omega, 10\, \Omega$ and $15\, \Omega$ are connected in series and the combination is connected to battery of $30\, V$. Ammeter and voltmeter are connected in the circuit. Draw a circuit diagram to connect all the devices in proper correct order. What is the current flowing and potential difference across $10\, \Omega$ resistance ?
$(a)$ How much current will an electric bulb draw from a $220\, V$ source, if the resistance of the bulb filament is $1200\,ohm$ ?
$(b)$ How much current will an electric heater coil draw from a $220\, V$ source, if the resistance of the heater coil is $100\, ohm$ ?
Find the equivalent resistance of the following circuit
Who invented simple battery?