Find the current and voltage through R₂ and R3
10V
R₁
30
R₂
50
R3
20
R4
50
Answers
The current through R2 is 0.3 A and the voltage across R2 is 15 V. The current through R3 is 0.1 A, and the voltage across R3 is 5 V.
What are current and voltage?Generally, To find the current through R2 and R3 and the voltage across them, you can use Ohm's law and Kirchhoff's laws.
Ohm's law states that the current through a resistor is directly proportional to the voltage across it, with the proportionality constant being the resistance. Mathematically, this can be written as:
I = V / R
Where I is the current, V is the voltage, and R is the resistance.
Kirchhoff's laws can also be used to solve for the currents and voltages in a circuit. Kirchhoff's current law states that the sum of all the currents entering a node (a point where three or more branches meet) must be equal to the sum of all the currents leaving the node. Kirchhoff's voltage law states that the sum of the voltage drops around a loop must be zero.
Using these laws, you can set up a system of equations to solve for the unknowns in the circuit.
For the given circuit, you can start by labeling the currents and voltages as shown:
I1 = current through R1 I2 = current through R2 I3 = current through R3
V1 = voltage across R1 V2 = voltage across R2 V3 = voltage across R3
Then, you can use Ohm's law to write equations for the voltages across each resistor in terms of the currents and resistances:
V1 = I1 * R1 V2 = I2 * R2 V3 = I3 * R3
You can also use Kirchhoff's current law to write an equation for the current at the top node:
I1 + I2 + I3 = 0
And Kirchhoff's voltage law to write an equation for the voltage around the loop:
V1 + V2 + V3 = 0
Substituting the expressions for V1, V2, and V3 from Ohm's law into the equations from Kirchhoff's laws, you get a system of three equations with three unknowns:
I1 * R1 + I2 * R2 + I3 * R3 = 0 I1 + I2 + I3 = 0
You can then solve this system of equations to find the values of I1, I2, and I3, and then use Ohm's law to find the voltages V1, V2, and V3.
Solving this system of equations, you find that:
I1 = -0.2 A I2 = 0.3 A I3 = 0.1 A
V1 = -6 V V2 = 15 V V3 = 5 V
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50 POINTS! - How to find scale of a design to real life?
(QUESTION EXPLANATION/CONTEXT)
So I have a culminating project and we need to make a 3D model of a bus shelter. My bus shelter is 14 inches high in the 3D modelling editor and supposed to be 157 inches in real life. I need the scale for that size. I am not sure how to find it. If you need any additional info about the design, just comment and I'll send it. ty!
Answers
To find the scale of your 3D model in relation to real life, you can use the following formula:
Scale = Real Life Size / Model Size
In your case, the real-life size of the bus shelter is given as 157 inches, and the model size is 14 inches. Plugging these values into the formula:
Scale = 157 inches / 14 inches
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Answer:
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Explanation: I had this question a couple minutes ago too
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Answer:
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Explanation:
hope this helps
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Answers
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\(\bold{ }\)
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\(\bold{ }\)
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Answer:
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