How do I find the currents through each component in a parallel battery circuit?

AI Thread Summary
To find the currents through each component in a parallel battery circuit, Kirchhoff's laws are essential. The total current through the resistor is the sum of the currents from both batteries, labeled as I1 and I2, which equals 0.01 A. Assuming the batteries are identical, each battery would contribute half of the total current, suggesting I1 and I2 would each be 0.005 A. The discussion emphasizes the need to analyze the circuit using these principles to determine the individual currents. Understanding the behavior of parallel circuits is crucial for solving such problems effectively.
tjkubo
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Homework Statement


Find the current through each component of the circuit.


Homework Equations


Kirchhoff's laws


The Attempt at a Solution


I labeled the current through the left battery I1 and the current through the right battery I2. Therefore the current through the resistor is I1+I2. Using the voltage rule, I1+I2 = .01 A.
I have no idea how to find I1 and I2. Would current flow through both of them?
 

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tjkubo said:

Homework Statement


Find the current through each component of the circuit.


Homework Equations


Kirchhoff's laws


The Attempt at a Solution


I labeled the current through the left battery I1 and the current through the right battery I2. Therefore the current through the resistor is I1+I2. Using the voltage rule, I1+I2 = .01 A.
I have no idea how to find I1 and I2. Would current flow through both of them?
HINT: Assume that batteries are identical (i.e. have the same internal resistance).
 


So each battery contributes half of the total current?
 
That would seem to be the case.
 
Thread 'Variable mass system : water sprayed into a moving container'

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}...
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