Closed circuit

In a closed circuit, there is a voltage source with U1 = 12 V and with an internal resistance R1 = 0.2 Ω. The external resistance is R2 = 19.8 Ω.
Determine the electric current and terminal voltage.

Correct answer:

I =  0.6 A
U₂ =  11.88 V

Step-by-step explanation:

$$\begin{gathered} U_1=12\text{ V } \\ {R}_1=0.2\mathrm{\Omega } \\ {R}_2=19.8\mathrm{\Omega } \\ I={\displaystyle \frac{U_1}{R_1+R_2}}={\displaystyle \frac{12}{0.2+19.8}}={\displaystyle \frac{3}{5}}={\displaystyle \frac{3}{5}}\text{ A}=0.6\text{ A} \end{gathered}$$

$U_2=I\cdot R_2=0.6\cdot 19.8={\displaystyle \frac{297}{25}}={\displaystyle \frac{297}{25}}\text{ V}=11.88\text{ V}$

Try another example

Related math problems and questions:

• Effective and mean voltage
  A voltage divider consisting of resistors R1 = 103000 Ω and R2 = 197000 Ω is connected to the ideal sine wave voltage source, R2 is connected to a voltmeter which measures the mean voltage and has an internal resistance R3 = 200300 Ω, the measured value i
• Mains voltage
  How much electric current flows through the appliance with a resistance of 40kΩ, which is connected to the mains voltage (230 V)?
• Current in the conductor
  Calculate the current in the conductor (in mA) if it is connected to a 4.5 V voltage source and its resistance is 20 (ohm).
• Lowest voltage
  Three resistors with resistors R1 = 10 kΩ, R2 = 20 kΩ, R3 = 30 kΩ are connected in series and an external voltage U = 30 V is connected to them. On which resistor is the lowest voltage?
• Two resistors
  Two resistors 20 Ω and 60 Ω are connected in series and an external voltage of 400 V is connected to them. What are the electrical voltages on the respective resistors? Please comment!
• Resistance
  Determine the resistance of the bulb with the current 200 mA and is in a regular lamp (230V).
• Resistance of the resistor
  The resistor terminals have a voltage of 20 V and a current of 5 mA is passed through. What is the resistance of the resistor?
• Filament of bulb
  The filament of bulb has a 1 ohm resistivity and is connected to a voltage 220 V. How much electric charge will pass through the fiber when the electric current passes for 10 seconds?
• Resistors
  Two resistors connected in series give the resulting resistance 245Ω and 60Ω in parallel. Determine the resistance of these resistors.
• Resistance
  A resistor having an electrical resistance of 1.5 k ohms passes an electrical current of 0.1 A. Calculate what voltage is between the terminals of the resistor.
• Circuit voltage
  Calculate the closed circuit voltage. Calculate the power on the resistors. R1 = 30 ohms, R2 = 10 ohms. I = 0.1A. U =?. The resistors are connected in series, one after the other.
• Voltmeter range
  We have a voltmeter which in the original set measures voltage to 10V. Calculate the size of the ballast resistor for this voltmeter, if we want to measure the voltage up to 50V. Voltmeter's internal resistance is 2 kiloohm/Volt.
• The bulbs
  The bulbs are connected serially two bulbs and one resistor. Each bulb has a resistivity of 100 ohms and resistor of 60 ohms The voltage source in the circuit is 24 volts. Do you know what voltage to measure on individual appliances?
• Coil as a girl
  The electrical resistance of the copper wire coil is 2.0 ohms. What current runs through the coil when the voltage between the terminals is 3.0 V?
• The bulb
  What is the resistance of a filament lamp when it is connected to a 9V battery and has a current of 120 mA?
• Electric input power
  Solve problems related to electric power: a) U = 120 V, I = 0.5 A, P =? b) P = 200 W, U = 230 V, I =? c) I = 5 A, P = 2200W, U =?
• Cooker
  A current of 2A passes through the immersion cooker at a voltage of 230V. What work do the electric field forces in 2 minutes?