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Electric Fields
1. **Problem:** Two charges $q_1 = -0.25 \times 10^{-6} C$ at $x=0$ and $q_2 = 6 \times 10^{-6} C$ at $x=1\,m$ on x-axis. Find point $x$ where electric field is zero. 2. **Solution
Circuit Analysis
1. **Problem statement:** Find the voltage $V_2$ across the resistor $R_2 = 3\ \Omega$ and the current $I_4$ through resistor $R_4 = 8\ \Omega$ in the given circuit.
Gauss Law Charges
1. Problem 5: Given point charges $q_1, q_2, q_3$ inside a spherical Gaussian surface $S$ of radius $R$, and charge $q_4$ outside $S$, we analyze the total electric flux through $S
Parallel Resistors
1. **State the problem:** Given a circuit with total resistance $$R_T = 4\ \Omega$$, currents and resistances $$I_1 = 4\ A$$, $$R_1 = 10\ \Omega$$, $$R_2 = 20\ \Omega$$, and unknow
Volume Mass
1. **Problem statement:** We want to solve parts c and d related to a volume with given parameters. 2. Given data:
Current Ratio
1. السؤال الأول: حساب التيار $I_1$ في الدائرة الكهربائية المعطاة مع مقاومات 5 أوم متصلة ومصدر جهد 12.5 فولت ومقاومة داخلية $r=1.25\ \Omega$. 2. نبدأ بتحليل الدائرة: مجموع المقاومات
Energy Per Kilogram
1. The problem is to calculate the energy released per kilogram (J/kg) by a system where the fall height difference is 800 m and the specific heat capacity is 4200 J/kg °C. 2. Give
Electric Dipole And Fields
1. The problem asks to describe the concept of electric dipole with an illustration. An electric dipole consists of two equal and opposite charges, +q and -q, separated by a small
Internal Resistance
1. Statement of the problem: Before a load is applied the open-circuit terminal voltage is 40 V, and when a load of 500 \Omega is attached the terminal voltage falls to 38.5 V. Wha
Friction Definition
1. The problem asks: What is friction? 2. Friction is a force that opposes the motion of an object when it is in contact with another object or surface.
Falling Object
1. **State the problem:** An object falls from rest with displacement given by $s = 16t^2$, where $s$ is the distance fallen in feet after $t$ seconds. We need to find: (a) The ave
Forces Overview
1. **Indicate type of force for each action:** - Screwing in a light bulb: **Turn or Twist** (forces involved twist motion)
Phasor Circuit Analysis
1. **Problem statement:** Given an AC circuit with voltage sources and components as follows: - $e_1 = e_3 = 220\sqrt{2} \sin 314t\ (V)$
Motion Equation
1. We are given the equation of motion: $$s = t + \frac{1}{2} a t^2$$ where $a = 6$ and $t = -7$. 2. Substitute the given values into the equation:
Speed Distance Time
1. The problem shows a chain of logical implications connecting different mathematical expressions related to speed, distance, and time. 2. The first expression is $v = \frac{c}{t}
Force Moments
1. Problem 18: Calculate the moment of force $F = 60$ N about point $C$. Given $AB = 80$ cm (horizontal) and $C$ is located vertically above $A$ by $30\sqrt{5}$ cm. Force $F$ acts
Velocity Reciprocals
1. The problem gives various quantities such as time, acceleration, velocities, and requests answers. We need to clarify what is asked; since the user says "Give me the answer," we
Moment Magnitude Calculations
1. Problem 23: Given a circular disc with diameter $AC=10$ cm, $AB=6$ cm, $AD=8$ cm, two forces of magnitudes 5 N (along AB) and 9 N (along AD) act. Calculate the moment $M_M$ abou
Force Moments
1. Problem (27): Given two forces of magnitudes $F$ and 20 Newtons acting at certain positions with total moment about point $O$ equal to zero, find $F$. - The moment caused by a f
Moment Problems
1. **Problem (31):** Given moments $M_B=8$ N.cm and $M_C=12$ N.cm for forces acting in plane of $\triangle ABC$, find $M_D$.\n\nSince moments relate proportionally to distances in
Moments Force
1. Problem (36): Given two rods AO and OB each 50 cm long with forces acting as follows: 16\sqrt{2} N force at 45° downward/right along AO, 20 N horizontal left along AO, and 30 N