The diagram of the circuit in the attached file is composed of two batteries (e1 = 9 V and e2 = 6 V) and four resistors (R1 = 110 ohm, R2 = 40 ohm, R3 = 50 ohm, and R4 = 50 ohm) as shown.

(a) What is the current I1 which flows through R1?
(b) What is the current I3 that flows through R3?

Because of the presence of batteries in more than one branch of the circuit, parts (a) and (b) of this problem can only be solved simultaneously. There is no way around this fact. Equivalent resistance tricks are of no help, except for resistances such as R1 and R4 in this circuit that are in the same "branch" and therefore must carry the same current. Begin by replacing R1 and R4 by an equivalent resistance; call it R14. Next express the current through R2 in terms of I1 and I3 using the Kirchhoff current rule.

Next write two independent voltage loop equations by going around the left-hand block of the circuit and, separately, the right-hand block. A loop around the entire periphery of the circuit is another possibility, but this does not give independent information because the resulting equation is the sum of the previous two loop equations. Solve the loop equations for I1 and I3.

For the attached circuit, find Vx, I1, and I2.
a) Vx=5V, I1=0.5A, I2=0.5A
b) Vx=10V, I1=0.5A, I2=1A
c) Vx=2.5V, I1=0.75A, I2=0.25A
d) Vx=7.5V, I1=0.25A, I2=0.75A

1.) A box has three identical bulbs mounted on its top with the wires hidden inside the box. Initially bulb A is the brightest and bulbs B and C are equally bright. If you unscrew A, bulbs B and C go out. If you unscrew B, A gets dimmer and C gets brighter so that A and C are equally bright. If you unscrew C, A gets dimmer a

Consider a basic electric circuit with a resistor, capacitor, and inductor and input voltage V(t). It follows Kirchoff'sLaws that the charge on the capacitor Q = Q(t) solves the differential equation: {see attachment}, where L (inductance), R (resistance), and C (capacitance) are positive constants (depending on material). The

A 2.5 kg block collides with a horizontal spring of negligible mass and spring constant.
k=320 N/m. The block compress the spring by 8.5 cm from its rest position. How fast was the block going when it hit the spring if the frictional coefficient between the block and the horizontal surface is 0.40?

(See attached file for full problem description)
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2. Finding Unknowns
Determine the unknowns in the circuit shown in Fig.3.
How do electrical engineers use Kirchoff's current law and Kirchoff's voltage law to write a system of linear equations?
? Based on your explanation, write a system of linear equations for Pro

An electric circuit with an ohmic resistor R and an inductance L will exhibit a certain delay in approaching the (asymptotic) saturation current I_infinity=U/R in response to a voltage source U. Using Kirchoff's circuit laws, electrical engineers have proposed the equation
dI/dt=-R/L I+U/L
for describing the time dependence I(

Please help with the following problem. Provide step by step calculations to go along with the solution.
Use Kirchhoff's rules to find the current in each of the four resistors in the circuit shown below (see the attachment). Also, calculate the voltage drop across each of the four resistors.
See attached file for a diag

Let us now consider a different RC circuit. This time, the capacitor is initially charged (q(t) = q_0), and there is no source of EMF in the circuit. We will assume that the top plate of the capacitor initially holds positive charge. For this circuit, Kirchoff's loop rule gives IR + q/C = 0, or IR = -q/C.
Find the current

A factory costs $400,000. You forecast that it will produce cash inflows of $120,000 in Year 1, $180,000 in Year 2, and $300,000 in Year 3. The discount rate is 12 percent. Is the factory a good investment? Explain.