Engineering The components of a circuit with a voltage source and 2 resistors

AI Thread Summary
The discussion focuses on analyzing a series circuit with a voltage source of 10V and two resistors, R1 (100 ohms) and R2 (150 ohms). The calculations show that the equivalent resistance is 250 ohms, resulting in a current of 0.04A through each resistor. The voltage across R1 is 4V, while across R2 it is 6V, leading to power dissipation of 0.16W and 0.24W respectively. The total power supplied by the source is 0.4W. Clarification was provided regarding the equivalent resistance, emphasizing its significance in circuit analysis as perceived by the power supply.
Hooke's Law
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Homework Statement


The components of a circuit with a voltage source and 2 resistors ( series ) has the following values vs = 10V, R1 = 100 , R2 = 150. With i1 leaving the +ve vs and i2 leaving -ve vs ( i.e. i1 entering node A, i2 is entering in the opposite direction of i1 )
Find:
a) Currents through each resistor
b) Voltages across each resistor
c)power dissipated by each resistor
d) power supplied by source
e)equivalent resistance seen by the source


Homework Equations


V=iR
P= iV

P-power
i- current
R- resistance


The Attempt at a Solution

4
Since the circuit is in series i1=i2=is
vs = v1 + v2
vs = isR(eq)

R(eq) = R1 + R2 = 250 ohms

vs / R(eq) = is ====> is = (10v)/(250 ohms) = 0.04A

v1 =isR1
v1 = (0.04 A)(100 ohms) = 4V

v2 = isR2
v2 = (0.04A)(150 ohms) = 6 V

P1= isv1
P1=(0.04A)(4v)=0.16W

P2 =isv2 = (0.04 A) (6V)= 0.24 W

Ps = isvs
Ps = 0.4W


Is there something wrong in my calculations or concept? & what does it mean by "e)equivalent resistance seen by the source"?

Thanks
 
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The calculations look OK.

e) is just asking for the total resistance, which you already worked out.

In this case, it is obvious, but sometimes it is important to say which point you are looking from when you talk about input resistance.
So, they say "as seen by the power supply" as if the power supply could "see" what resistance was across it.
 
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