If a 10k ohm and a 5k ohm resister are connected in series across a 12 volt source whats the voltage across the 10k ohm resistor and 5 ohm resistor?
V = 12 Volts.
R1 = 10k Ohms.
R2 = 5k Ohms.
I = V/(R1+R2) = 12/(10k+5k) = 0.8 mA.
V1 = I*R1 = 0.8mA * 10k = 8 Volts.
V2 = I*R2 = 0.8mA * 5k = 4 Volts.
since they are in series, the voltage drop is divided up into
2/3 across the 10k
1/3 across the 5k
since R = R1+R2 = 5+10 = 15 k, and
10 is 2/3 of 15, 5 is 1/3 of 15.
Find the net force on Q4 if Q1 = 6micro-C, Q2 = -3micro-C, Q3 = 7 micro-C and Q4 = 5 micro-C. The four charges forms a rectangular shape. The distance of separation, Q1 to Q2 = 0.2 meter, Q2 to Q4 = 0.1 meter, Q2 to Q3 = 0.2 meter and Q3 to Q1 = 0.1 meter. Give your answers in two significant figures, for both the magnitude and direction. Separate them by a comma , Ex. 45N, 25 degrees.
To find the voltage across each resistor in a series circuit, we need to apply some basic principles of circuit analysis.
1. First, let's consider the total resistance in the circuit. In a series circuit, resistors are connected end to end, so their resistances simply add up. In this case, the total resistance (RT) is equal to the sum of the resistances of the 10k ohm resistor (R1) and the 5k ohm resistor (R2).
RT = R1 + R2 = 10k ohm + 5k ohm = 15k ohm
2. Next, we can find the total current flowing in the circuit using Ohm's Law. Ohm's Law states that the current (I) in a circuit is equal to the voltage (V) divided by the resistance (R):
I = V / RT
Given that the source voltage (V) is 12 volts, we can calculate the total current:
I = 12V / 15k ohm = 0.8 mA
3. Since the resistors are in series, the same current flows through both of them.
I1 = I2 = 0.8 mA
4. Finally, let's find the voltage across each resistor using Ohm's Law. The voltage across a resistor (VR) is equal to the current (I) multiplied by the resistance (R):
VR1 = I1 * R1 = 0.8 mA * 10k ohm = 8 volts
VR2 = I2 * R2 = 0.8 mA * 5k ohm = 4 volts
Therefore, the voltage across the 10k ohm resistor is 8 volts, and the voltage across the 5k ohm resistor is 4 volts.