question 6 of 10\nassuming that voltage remains constant, what happens to the current in a filament if it is…

question 6 of 10\nassuming that voltage remains constant, what happens to the current in a filament if it is replaced by a thinner wire?\na. the current alternates between high and low values.\nb. the current increases.\nc. the current is not affected by a change in filament thickness.\nd. the current decreases.

question 6 of 10\nassuming that voltage remains constant, what happens to the current in a filament if it is replaced by a thinner wire?\na. the current alternates between high and low values.\nb. the current increases.\nc. the current is not affected by a change in filament thickness.\nd. the current decreases.

Answer

Brief Explanations:

According to Ohm's Law $V = IR$ (where $V$ is voltage, $I$ is current, and $R$ is resistance), and the resistance formula $R=\rho\frac{l}{A}$ (where $\rho$ 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.