Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a student replaces a 3v battery with a 6v battery. assuming the resista…

Question

a student replaces a 3v battery with a 6v battery. assuming the resistance remains the same, if the original current was 4 amps, how will the current be affected? v=ixr a the current will be 8a. b the current will 2a. c the current will be 3a. d the current will be 6a.

Explanation:

Step1: Calculate the original resistance

Using Ohm's law \(V = I\times R\), when \(V = 3V\) and \(I = 4A\), we can find \(R\) by \(R=\frac{V}{I}\). So \(R=\frac{3}{4}= 0.75\Omega\).

Step2: Calculate the new current

The new voltage \(V'=6V\) and resistance \(R = 0.75\Omega\). Using \(I'=\frac{V'}{R}\), substitute \(V' = 6V\) and \(R=0.75\Omega\) into the formula. Then \(I'=\frac{6}{0.75}=8A\).

Answer:

A. The current will be 8A.