What is the voltage across a resistor in an electrical circuit?

  • Thread starter Thread starter FlexedCookie
  • Start date Start date
  • Tags Tags
    Resistor Voltage
AI Thread Summary
The voltage across a resistor in an electrical circuit can be expressed using Ohm's Law, which states that voltage V(t) equals the product of resistance R and current i(t). The discussion highlights confusion regarding a formula involving a square root and pi, with participants noting that it does not align with standard equations. The relationship between power, voltage, and current is also mentioned, specifically p(t) = v(t) · i(t) and its rearrangement. Participants suggest seeking clarification from the teacher due to the confusion surrounding the formula. Overall, the conversation emphasizes the need for a clearer understanding of voltage calculations in electrical circuits.
FlexedCookie
Messages
3
Reaction score
0

Homework Statement


The voltage V(t) [in volts] across a resistor in an electrical circuit at a given time t [in seconds] is given by:

sqrt of something to the power of pi

^ that's the example i got in my book. Its just got the square root symbol, a space, and then a pi in an exponential position.


Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
power as a function of time: p(t)=v(t) · i(t)

Ohm's Law: v(t)=R · i(t)

The nearest matching your case that I can see is p(t) = (v(t))2 /R
when rearranged to v(t) = ...

No power of Pi. :rolleyes:
 
Im very confused too. I thought i must have been missing something. Ill bring it up with the teacher.

Thanks mate
 
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...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top