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# A circuit is shown in the diagram given below.Find the value of RFind the reading of the ammeterPotential difference across the terminals of the battery.

Last updated date: 24th Jul 2024
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Hint: Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω). Ohms are named after Georg Simon Ohm (1784-1854), a German physicist who studied the relationship between voltage, current and resistance. As we know that
$\therefore V = IR$

The value of R
Since R and $6\Omega$ resistors are in series, same current flows through them, i.e,
Current ‘I’ through the resistor can be
$\therefore I = \dfrac{V}{R}$
Put the values
$\Rightarrow \dfrac{{6V}}{R} = \dfrac{{12V}}{{6\Omega }}$
Simplify
$\Rightarrow R = 3\Omega$
The reading of ammeter will be
Ammeter reading will be same as current through R,
$\therefore I = \dfrac{V}{R}$
Put the value
$\Rightarrow I = \dfrac{{6V}}{{3\Omega }}$
$\Rightarrow I = 2A$
The potential difference across the terminal
$\therefore Potential\,Difference = {V_1} + {V_2}$
Put the value
$\Rightarrow Potential\,Difference = 12 + 6$
$\Rightarrow Potential\,Difference = 18V$