Find the current through a resistance 2ohm if the voltage across the resistance is 6V.

Hint: Ohm’s law gives the relation between current passing and voltage applied across any circuit. The current flowing through a conductor which is directly proportional to the potential difference applied across its end, the other physical and the temperature provided conditions remain unchanged is the Ohm’s law.

Complete step-by-step solution:
Across that resistance, to make a current flow there must be a voltage across the resistance. Through a resistor, the current is directly proportional to voltage differences. Ohm’s law shows the relationship between the voltage (v|), current(I) and resistance (R).
\[V\alpha I - orI\alpha V \Rightarrow V \Rightarrow IR\]
\[V\]= potential difference in volt
\[I\]= current in ampere
\[R\]= Resistance (which is a constant)
SI unit of resistance is Ohm which is denoted by the symbol Omega\[(\Omega )\].
Given, Resistance\[\], and
Voltage:
\[V = 6\]
Using Ohm’s Law, which states that\[V = IR\]
\[6 = I \times 3\]
Dividing by\[3\]both sides, we get,
\[I = 3\]
Hence, the current passing through a resistance of\[2\Omega \] and if the voltage across the resistance is\[6V\]is \[3A\].

Note: The temperature for the Ohm’s law is a necessary condition that must be constant with the parameters, for non- linear electrical elements like capacitances, resistance etc. with respect to time the voltage and the current won’t be constant making it difficult to use Ohm’s law. For unilateral electrical elements like diodes and transistors Ohm’s law is not applicable, as they allow the current to flow through in one direction only.