www.jiskha.com/questions/1791803/In-a-series-circuit-there-are-4-resistor-with-one-battery-cell-theres-no-diagram
on the website above this message, you said:
On r3, get current by P=I^2/R
Then if you circuit current, so you know Rtotal (100/current)
then you know R4 (Rtotal-r1-r2-r3)
then you know V4 (IR4)
total power= I^2 * Rtotal or you can add each IV up for all four resistors.
Can you show me how to do it please
Certainly! Let's break down the steps to solve this series circuit problem using the provided information:
1. First, let's calculate the current (I) flowing through R3 using the formula P = I^2/R. However, we don't have the power (P) value for R3, so we need more information. If you have the power, you can use the formula to find the current flowing through R3.
2. Next, let's find the total resistance (Rtotal) of the circuit. We can calculate this by dividing the voltage (V) of the battery by the current (I): Rtotal = V/I. Since you don't have the voltage value, we can't determine the total resistance yet. If you have the voltage value, you can substitute it into the formula.
3. Once you know the total resistance (Rtotal), you can calculate the value of R4. Since this is a series circuit, the sum of all resistances in the circuit is equal to the total resistance. So, Rtotal = R1 + R2 + R3 + R4. Rearranging the formula, we get: R4 = Rtotal - R1 - R2 - R3. Since you don't have the values for R1, R2, and R3, you can't determine R4 yet.
4. After you know the value of R4, you can calculate the voltage drop across it (V4). Since this is a series circuit, the voltage across each resistor is the same as the battery voltage. So, V4 = I * R4. However, without knowing the current (I) or the resistance (R4), we can't calculate the voltage drop across R4.
5. Finally, we can find the total power dissipated in the circuit. There are two ways to do this:
Option 1: You can use the formula Ptotal = I^2 * Rtotal. However, since we don't have the current (I) or the total resistance (Rtotal) yet, we can't calculate the total power.
Option 2: You can calculate the power dissipated in each resistor (P1, P2, P3, P4) and then add them up to get the total power. The power can be calculated using the formula P = I^2 * R. However, since we don't have the values for current or resistance for any of the resistors, we can't determine individual powers or the total power.
In summary, to solve this series circuit problem, you would need additional information such as the power for R3, the voltage of the battery, and the values of R1, R2, and R3. With that information, you can follow the steps outlined above to calculate the desired quantities.