Math Problem Statement

v3=20v, R1=5ohms , R3=10ohms and R3=15 ohms what is the ampere?

Solution

It looks like you're describing a circuit with resistors R1=5ΩR_1 = 5 \, \Omega, R3=10ΩR_3 = 10 \, \Omega, and another resistor R3=15ΩR_3 = 15 \, \Omega. Additionally, you're giving a voltage of V3=20VV_3 = 20 \, V, but I need to clarify whether you're describing a series or parallel circuit, or if the resistors are in different branches.

If the resistors are arranged in series or parallel, the current will be calculated differently. Here are a couple of approaches:

  1. If the resistors are in series, the total resistance is the sum of individual resistances, and the total current is given by: I=VRtotalI = \frac{V}{R_{\text{total}}} where Rtotal=R1+R3+R3R_{\text{total}} = R_1 + R_3 + R_3.

  2. If the resistors are in parallel, the total resistance is calculated as: 1Rtotal=1R1+1R3+1R3\frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_3} + \frac{1}{R_3} and then the current is: I=VRtotalI = \frac{V}{R_{\text{total}}}

Please clarify the type of connection for the resistors (series or parallel), or if it's something else.

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Math Problem Analysis

Mathematical Concepts

Ohm's Law
Resistor Networks
Series and Parallel Circuits

Formulas

I = V / R_total
1 / R_total = 1 / R1 + 1 / R3 + 1 / R3 (for parallel)
R_total = R1 + R3 + R3 (for series)

Theorems

Ohm's Law

Suitable Grade Level

Grades 9-11