In a DC circuit with multiple batteries and resistors, the current through a resistor can be calculated by determining the net voltage (accounting for batteries in the same or opposite direction) and applying Ohm's Law (I = V/R). For example, with three 10V batteries in the same direction (30V total) and one 10V battery in the opposite direction (net 20V), and a 5Ω resistor, the current is 20V ÷ 5Ω = 4 amps.
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Direct Current (DC) Circuits - General Physics 2: Problem 1 Example #physics #circuit #dccircuitsAdded:
Hi, hola, salut, privet. This is V-Ray 6 back again and today I'm going to do a tutorial on about DC currents. So, DC currents are basically general physics 2 and it's talking about how direct currents are pathways where electrical energy flows continuously in one direction and their operational is defined by Ohm's law, which is um V = IR.
And this equation will help us solve for this problem. And for this problem for problem one, it states in the circuit below all batteries are 10 volts and all resistors are 5 ohms.
Find the current through the resistor marked R. And our key shows that the batteries are sorted out through this, which is negative on the bottom, positive at top, going in this direction flow, which is represented by 10 volts as stated in the problem, and five for the resistor ohms.
And here is the circuit below. So, now below, tell me if you can find the pathway first before I solve it.
The first solution were to be finding where the current goes through the little R right here, right? And in order to find where it goes, you notice that in all of the batteries there, it currents will flow as long as there isn't a resistor in that area cuz there's more resistance, meaning it'll be harder to flow through it. So, the pathway to find where it connects to all the batteries and also connects to the resistor R that we're trying to find is through this pattern.
This is the path that you would see to solve the solution.
To find the current in R, you notice that we solve the equation here I equals V over R, and we know it's all on the all the batteries on the left are in the same direction flow, but the one on the right is on the complete opposite direction. And because of this, we're going to do V equals IR. And we know three of the batteries on the left are correct direction flow, 30 volts, and then 30 minus 10 volt, which is the other other flow of direction of current of the battery, equals 20 volts. And 20 volts means it's the total voltage of it. And because this is a 20 voltage, we're just going to do 20 over 5 ohms equals 4 amps.
That is the current that is running through R.
And because of this, it's because these are all in the same flow direction, but this one's complete opposite because you notice this is going from positive to another positive. That means it's going on a different flow.
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