How Does Resistance and EMF Affect Energy Transfer in a Circuit?

AI Thread Summary
The discussion revolves around calculating energy transfer and dissipation in a circuit with a wire resistance of 5.0 Ω and a battery with an emf of 2.0 V and internal resistance of 1.0 Ω. The user initially struggles to find the current, ultimately determining it to be 0.333 A using the formula i=E/(R+r). They successfully calculate that 80 J of energy is transferred from chemical to electrical form in the battery. After some confusion with power calculations, the user resolves their issues independently. The thread concludes with the user indicating they have found the solution.
justine411
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Homework Statement



A wire of resistance 5.0 Ω is connected to a battery whose emf ε is 2.0 V and whose internal resistance is 1.0 Ω. In 2.0 min, how much energy is (a) transferred from chemical to electrical form in the battery, (b) dissipated as thermal energy in the wire, and (c) dissipated as thermal energy in the battery?


Homework Equations



P=iV
P=i^2r
P=iE(the fancy E)
Vb-Va=(E/(R+r))R
i=E/(R+r)


The Attempt at a Solution



I am having trouble finding the current, so I cannot find power.
I am using i=2.0V/(5.0+1.0)=0.333A
then I get Vb-Va=(0.333Ax5.0)
the answer for part a) is 80J
when I use P=iV I don't get that answer...

If I could make it more clear...I can, just post!
 
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nevermind, I figured it out on my own

BOARD CLOSED
 
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 .
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