Math Problem Statement

Soal 2: Hitunglah hambatan total dan kuat arus yang mengalir didalamnya.

Solution

Let's solve the problem based on the image and the text provided.

The circuit shows three resistors in series:

  • R1=2ΩR_1 = 2 \, \Omega
  • R2=3ΩR_2 = 3 \, \Omega
  • R3=7ΩR_3 = 7 \, \Omega

The voltage of the battery is V=24VV = 24 \, \text{V}.

1. Total Resistance (Hambatan Total)

In a series circuit, the total resistance RtotalR_{\text{total}} is simply the sum of all the resistances:

Rtotal=R1+R2+R3R_{\text{total}} = R_1 + R_2 + R_3

Rtotal=2Ω+3Ω+7Ω=12ΩR_{\text{total}} = 2 \, \Omega + 3 \, \Omega + 7 \, \Omega = 12 \, \Omega

2. Current (Kuat Arus)

Using Ohm's law, the current II in a series circuit is given by:

I=VRtotalI = \frac{V}{R_{\text{total}}}

I=24V12Ω=2AI = \frac{24 \, \text{V}}{12 \, \Omega} = 2 \, \text{A}

Final Answers:

  • Total resistance: 12Ω12 \, \Omega
  • Current: 2A2 \, \text{A}

Would you like further details or clarifications on any part of the process?

Here are 5 related questions to consider:

  1. What is the voltage drop across each resistor?
  2. How would the current change if one resistor's value was altered?
  3. How is total resistance calculated in parallel circuits?
  4. What would happen to the current if the voltage increased to 30 V?
  5. What are the differences between series and parallel circuits?

Tip: In a series circuit, the current is the same through each component, but the voltage divides according to the resistances.

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Math Problem Analysis

Mathematical Concepts

Ohm's Law
Series Circuits
Electricity

Formulas

R_total = R1 + R2 + R3
I = V / R_total

Theorems

Ohm's Law

Suitable Grade Level

Grades 9-12