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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.
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 \(I'=\frac{6}{0.75}=8A\).
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A. The current will be 8A.