51. CHALLENGE A series circuit is made up or a -12-V battery and three resistors The potential difference across one resistor is 1.2 V.and the potential difference across another resistor is 3.3 V. What is the voltage across the third resistor? resistance will operate

## Step 1<br />In a series circuit, the total voltage is the sum of the individual voltage drops across each component. This is due to Kirchhoff's voltage law, which states that the sum of the potential differences (voltages) around any closed loop or mesh in a network is always equal to zero.<br /><br />## Step 2<br />In this problem, we are given a 12-V battery and three resistors in a series circuit. The potential difference across one resistor is 1.2 V and the potential difference across another resistor is 3.3 V.<br /><br />## Step 3<br />To find the voltage across the third resistor, we subtract the sum of the given voltage drops from the total voltage of the battery.<br /><br />### **The formula used here is:**<br />### \( V_{total} - V_{1} - V_{2} = V_{3} \)<br /><br />## Step 4<br />Substitute the given values into the formula:<br /><br />### \( 12V - 1.2V - 3.3V = 7.5V \)