Given:
The resistances are in parallel connection as shown in the diagram.
The current through the resistance,
[tex]R_1[/tex]
is
[tex]I_1[/tex]
The current through the resistance,
[tex]R_2[/tex]
is
[tex]I_2[/tex]
To find:
The relation between the main current and the current through the resistances
Explanation:
Kirchoff's current rule says the total sum of the current through any circuit is zero which means the input current is equal to the output current.
The input current is,
[tex]I[/tex]
The output current is,
[tex]I_1+I_2[/tex]
Hence,
[tex]\begin{gathered} input\text{ current=Output current} \\ I=I_1+I_2 \end{gathered}[/tex]
Hence, option D is correct.