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total voltage of 10 V. What is the current
through this circuit?
1A
) 5.A.
) 2.5 A.
10A"
A circuit with two 5 Ohm resistors has a total voltage of 10 V. What is the current through this circuit? 1A ) 5.A. ) 2.5 A. 10A
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The current through the circuit is 1 Ampere.
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## Step 1<br />The problem involves the application of Ohm's law, which states that the current through a conductor between two points is directly proportional to the voltage across the two points. The formula for Ohm's law is:<br />### \(I = \frac{V}{R}\)<br />where \(I\) is the current, \(V\) is the voltage, and \(R\) is the resistance.<br /><br />## Step 2<br />In this problem, we have two resistors, each with a resistance of 5 Ohms. When these resistors are connected in series, the total resistance of the circuit is the sum of the individual resistances. Therefore, the total resistance \(R\) is \(5 \, \text{Ohms} + 5 \, \text{Ohms} = 10 \, \text{Ohms}\).<br /><br />## Step 3<br />The total voltage \(V\) across the circuit is given as 10 Volts.<br /><br />## Step 4<br />Substituting the values of \(V\) and \(R\) into the formula for Ohm's law, we get:<br />### \(I = \frac{10 \, \text{Volts}}{10 \, \text{Ohms}} = 1 \, \text{Ampere}\)
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