Resistor

Resistor 1 with a resistance of 100 Ohms and resistor 2 with a resistance of 400 Ohms are connected side by side in the circuit. There is a voltage of 80V between the resistor terminals.
a) Draw a circuit diagram and write the entered quantities in it
b) Find the resulting resistance of the resistors.
c) Find the current I passing through the unbranched part of the circuit

Correct answer:

R =  80 Ω
I =  1 A

Step-by-step explanation:

$$\begin{gathered} R_1=100\mathrm{\Omega } \\ {R}_2=400\mathrm{\Omega } \\ U=80\text{ V } \\ {I}_1=U\mathrm{/}{R}_1=80\mathrm{/}100={\displaystyle \frac{4}{5}}=0.8\text{ A } \\ {I}_2=U\mathrm{/}{R}_2=80\mathrm{/}400={\displaystyle \frac{1}{5}}=0.2\text{ A } \\ I=I_1+I_2=0.8+0.2=1\text{ A } \\ R=U\mathrm{/}I=80\mathrm{/}1=80\mathrm{\Omega } \end{gathered}$$

Try another example

Related math problems and questions:

• Kirchhoff's law
  Two resistors with 100 Ω and 300 Ω resistors are connected in series. A current of 1.8 A passes through the first 100Ω resistor. What current flows through the second resistor?
• 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 - ohms
  If the resistance of the first resistor is 300 ohms and the resistance of the second resistor is 100 ohms. What is the resulting resistance?
• 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.
• Mains voltage
  How much electric current flows through the appliance with a resistance of 40kΩ, which is connected to the mains voltage (230 V)?
• 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?
• R1+R2 in parallel
  The resistance ratio of the first and second resistors is 3: 1 and the current flowing through the first resistor is 300 mA. What current flows through the second resistor (resistors connected in parallel)?
• 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.
• Serial connection
  If the voltage on the first resistor is 6 V and the resistance ratio of the first and second resistors is 1: 3, what will be the voltage across the second resistor if they are connected in series?
• 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.
• Resistors
  Two resistors connected in series give the resulting resistance 245Ω and 60Ω in parallel. Determine the resistance of these resistors.
• 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?
• 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?
• Three resistors
  You have to connect three identical resistors with 12 Ohm resistances so that you gradually get the resulting resistance a) 36 Ohm, b) 4 Ohm, 18 Ohm. Draw a diagram of each circuit.
• 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).
• 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?