Answer:
1.92 ohms
Step-by-step explanation:
Given the resistors are connected in parallel, 4ohms, 8ohms, 12ohms and 16ohms.
-Total resistance on circuit is calculated using the formula:
[tex]\frac{1}{Rp}=\frac{1}{Rp_1}+\frac{1}{Rp_2}+\frac{1}{Rp_3}+\frac{1}{Rp_4}\\\\=\frac{1}{4}+\frac{1}{8}+\frac{1}{12}+\frac{1}{16}\\\\=\frac{25}{48}[/tex]
Total resistance is the reciprocal of the value obtained above:
[tex]\frac{1}{Rp}=\frac{25}{48}\\\\Rp=1.92[/tex]
Hence, total resistance of the circuit is 1.92 ohms