How Do You Apply Kirchhoff's Current Law to Find vx and ix in This Circuit?

  • Thread starter Thread starter Cursed
  • Start date Start date
  • Tags Tags
    Current Law
AI Thread Summary
To find vx and ix in the given circuit, Kirchhoff's Current Law is applied, stating that the sum of currents at a node equals zero. The current ix is determined to be the negative of the current source is, resulting in ix = -2 mA. Subsequently, vx is calculated using the formula vx = ixR, yielding vx = -94V when substituting R as 47 k ohms. The calculations are confirmed to be correct.
Cursed
Messages
38
Reaction score
0

Homework Statement



[PLAIN]http://img24.imageshack.us/img24/4168/circuitv.png

Find vx and ix.


Homework Equations



Kirchhoff's Current Law: The algebraic sum of the currents entering a node is zero at any instant:

Σi = i1 + i2 +... iN = 0

The Attempt at a Solution


Since it's a current-driven circuit and ix points in the opposite direction of is,

ix = -is, where "is" is the current source.

We know that is = 2 mA, so... ix = -2 mA

... and vx = ixR
so vx = (-2 mA)(47 k ohms) = -94V

Is this right?
 
Last edited by a moderator:
Physics news on Phys.org
Yes, that looks good.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top