Question

question 6 of 10
assuming that voltage remains constant, what happens to the current in a filament if it is replaced by a thinner wire?
a. the current alternates between high and low values.
b. the current increases.
c. the current is not affected by a change in filament thickness.
d. the current decreases.

Explanation:

According to Ohm's Law $V = IR$ (where $V$ is voltage, $I$ is current, and $R$ is resistance), and the resistance formula $R=
ho\frac{l}{A}$ (where $
ho$ is resistivity, $l$ is length, and $A$ is cross - sectional area). A thinner wire has a smaller cross - sectional area $A$. As $A$ decreases, resistance $R$ increases. Since $V$ is constant and $I=\frac{V}{R}$, when $R$ increases, $I$ decreases.

Answer:

D. The current decreases.