Answer:
B. The equivalent resistance is more than the largest resistance
Explanation:
When N resistors are connected in series with each other, the same current flow through them:
[tex]I=I_1 = I_2 = ... =I_N[/tex] (1)
On the contrary, the total voltage of the circuit is equal to the sum of the voltages dropped on each resistor:
[tex]V=V_1+V_2+....+V_N[/tex]
Using Ohm's law, [tex]V=RI[/tex], we can rewrite this equation as
[tex]IR_{eq} = I_1 R_1 + I_2 R_2 + ... +I_N R_N[/tex]
However, we said that (1) the current is the same for each resistor, so we can simplify the previous equation as:
[tex]R_{eq}=R_1 + R_2 + ... + R_N[/tex]
So, the equivalent resistance of N resistors connected in series is equal to the sum of the individual resistances. As a consequence, we have that [tex]R_{eq}[/tex] is always larger than any of the individual resistances, so the correct statement is
B. The equivalent resistance is more than the largest resistance
