The circuit shown in the figure below is connected for 3.50 min. (Assume R1 = 6.

Question

The circuit shown in the figure below is connected for 3.50 min. (Assume R1 = 6.80 ?, R2 = 2.00 ?, and V = 10.0 V.)

(a) Determine the current in each branch of the circuit.

(b) Find the energy delivered by each battery.

branch magnitude (A) direction left branch ---Select---updown middle branch ---Select---updown right branch ---Select---updown

The circuit shown in the figure below is connected for 3.50 min. (Assume R1 = 6.80 ?, R2 = 2.00 ?, and V = 10.0 V.) (a) Determine the current in each branch of the circuit. (b) Find the energy delivered by each battery. (c) Find the energy delivered to each resistor. (d) Identify the type of energy storage transformation that occurs in the operation of the circuit.

Explanation / Answer

the middle branch I went up and to the left, right branch I went up and to the left

and down the middle branch using matrices

([12.8,6:6,11]^(-1)*[-4:10])[0.99237:1.45038] amps

Left branch--------Middle branch------------Right branch

- 0.99237-----1.45038+0.99237=2.44275------1.45038

-----------------------direction--------------------------------

-----up-----------------down------------------------up------

b) energy for 3.5 minutes

4 V*0.99237 A*3.5 minutes=13.89318 Joules

10 V*1.45038 A*3.5 minutes=50.7633 Joules or 0.0507633 kJ

c) 6.8 *0.992372 A*3.5 minutes=23.44 Joules

5 *2.442752 A*3.5=104.4 Joules

1 *2.442752 A*3.5=20.88 Joules

3 *1.450382 A*3.5=22.1 Joules

2 *1.450382 A*3.5=14.73 Joules

d) thermal energy

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