Solving a Circuit - Uncover the Concept Missing

[patm95]

Homework Statement

This is the circuit in question. # 31. R1-R3 = 2 Ohms R4=16Ohms R5= 8 Ohms
R6=4Ohms i6=1.4Amps

Homework Equations

V=i*R

The Attempt at a Solution

I see R5 and R6 as being in series, therefore r5*i6=11.2V
r6*i6=5.6V

Then I add them together=16.8V

Since I see the rest of the circuit in Parralel the voltages should be equal to one another so I take 16.8*3=50.4V

The back of the book says 48.3V


Any idea on what concept I may be missing?

Thank You very much in advance.

 

[rl.bhat]

Use branch current formula. If R1 and R2 are in parallel connection with I1 and I2 current, total current = I1 + I2. Then I1 = IR2/(R1 + R2)
Use this formula for each loop and solve for E.

 

[nlightner]

I would first check the calculations to make sure they are accurate. Double check the equations and make sure all units are consistent. It's possible that there was a calculation error leading to the discrepancy between your answer and the one given in the book.

If the calculations are correct, I would then review the concept of voltage in parallel versus series circuits. In a parallel circuit, the voltage across each branch is the same, while in a series circuit, the voltage is divided among the different components. In this circuit, R5 and R6 are in series, so the voltage across R5 should not be equal to the voltage across R6. Instead, the total voltage across R5 and R6 should be equal to the voltage across the rest of the circuit (R1-R4).

It's also important to note that in a parallel circuit, the total resistance is less than the individual resistances, while in a series circuit, the total resistance is equal to the sum of the individual resistances. This may also be a concept to review in order to fully understand the behavior of this circuit.

Overall, it's important to carefully review the concepts and equations involved in solving this circuit to ensure an accurate solution. If there are still discrepancies, it may be helpful to seek assistance from a teacher or colleague to clarify any misunderstandings.