College

Add up the voltages of [tex]L_1[/tex], [tex]L_2[/tex], and [tex]L_3[/tex].

The total voltage is:

A. [tex]L_1 + L_2 + L_3 = 9 \text{V}[/tex]
B. [tex]L_1 + L_2 + L_3 = 12 \text{V}[/tex]
C. [tex]L_1 + L_2 + L_3 = 10 \text{V}[/tex]

Answer :

Sure, here’s a detailed, step-by-step solution for the problem of finding the total voltage when adding the voltages of L1, L2, and L3:

1. List the Given Voltages:
- The voltages provided for L1, L2, and L3 are:
- [tex]\( L1 + L2 + L3 = 9 \, V \)[/tex]
- [tex]\( L1 + L2 + L3 = 12 \, V \)[/tex]
- [tex]\( L1 + L2 + L3 = 10 \, V \)[/tex]

2. Add the Voltages Together:
- To find the total voltage, we need to sum up the individual voltages:
- [tex]\( 9 \, V + 12 \, V + 10 \, V \)[/tex]

3. Perform the Addition:
- First, add the first two voltages:
- [tex]\( 9 \, V + 12 \, V = 21 \, V \)[/tex]
- Then, add the last voltage to the result:
- [tex]\( 21 \, V + 10 \, V = 31 \, V \)[/tex]

4. Total Voltage Calculation:
- The total voltage when summing L1, L2, and L3 is:
- [tex]\( 31 \, V \)[/tex]

Therefore, the total voltage is [tex]\( 31 \)[/tex] volts.

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