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Battery Discharge Time Estimation
In a Battery Management System (BMS), the estimated discharge time (T) of a battery can be calculated as: ​​ where: ​ is the ...

etwa 19 Stunden vor

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State of Charge (SoC) Estimation for a Battery
The State of Charge (SoC) of a battery represents its remaining charge as a percentage. It can be calculated using the formula: ...

etwa 19 Stunden vor

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Battery Life Estimation for a Device
A battery-powered device consumes a constant current while operating. The estimated battery life (T) can be calculated using the...

etwa 19 Stunden vor

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Electric Power Steering (EPS) Motor Torque with Efficiency
In EPS systems, the motor must generate additional torque to compensate for system losses. Given Required assist torque at rack...

etwa 19 Stunden vor

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EPS Assist Map with respect to the Vehicle Speed
In Electric Power Steering (EPS), assist torque reduces as vehicle speed increases to improve stability at high speeds. Given S...

etwa 19 Stunden vor

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Electric Power Steering (EPS) Assist Curve Calculation
Electric Power Steering (EPS) provides assist torque proportional to driver input. Given Steering torque Ts and Gain k, Compute...

etwa 19 Stunden vor

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Steering Torque Estimation
Steering torque is generated due to lateral tire forces acting through the steering mechanism. Given Lateral force Fy and Lever...

etwa 19 Stunden vor

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Understeer or Oversteer Gradient Calculation
This gradient determines whether a vehicle tends to understeer or oversteer. Given Mass m, Wheelbase L, Front cornering stiffne...

etwa 19 Stunden vor

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Steering Ratio Calculation
The steering ratio defines the relationship between steering wheel angle and road wheel angle. Given wheel angle δ and Steering...

etwa 19 Stunden vor

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Tire Slip Angle Calculation
Slip angle represents the angle between the direction a tire is pointing and the direction it is moving. Given Lateral velocity...

etwa 19 Stunden vor

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Yaw rate of the vehicle
Yaw rate defines how quickly a vehicle rotates about its vertical axis during motion. Given Vehicle speed v and Turning radius ...

etwa 19 Stunden vor

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Turning radius of a vehicle
The turning radius represents the radius of the circular path followed by a vehicle. Given Wheelbase L and Steering angle δ, Co...

etwa 19 Stunden vor

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Steering 101-Ackermann Steering Ratio
In a turning vehicle, inner and outer wheels follow different radii. Ackermann steering geometry ensures both wheels roll withou...

etwa 19 Stunden vor

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Estimating Monthly Electricity Cost for a Household Appliance
You recently bought an electric kettle for your kitchen, and you want to estimate how much it costs to run every month. The kett...

etwa 19 Stunden vor

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Voltage Divider Calculation
A voltage divider is a simple circuit used to obtain a reduced voltage from a higher voltage source using two resistors in serie...

etwa 19 Stunden vor

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LED Current Calculation
In an electrical circuit, the current (III) flowing through an LED is determined using Ohm’s Law: ​​ Where: I is the current ...

etwa 19 Stunden vor

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Inductor Energy Storage Calculation
The energy (EEE) stored in an inductor is given by the formula: Where: E is the energy in joules (J) L is the inductance in...

etwa 19 Stunden vor

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Calculate Charge Using Capacitance and Voltage
The charge (Q) stored in a capacitor is given by the formula:Q=C×V where: C is the capacitance (in farads) V is the voltage (...

etwa 19 Stunden vor

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Energy Stored in a Capacitor
The energy (E) stored in a capacitor is given by the formula: where: C is the capacitance (in farads) V is the voltage (in ...

etwa 19 Stunden vor

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Calculate Current in a Series Circuit Using KVL
Kirchhoff's Voltage Law (KVL) states that the sum of voltages around a closed loop is zero. Given a voltage source (V) and three...

etwa 19 Stunden vor

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Calculating the Total Resistance in a Series Circuit
Description: In a series circuit, the total resistance is the sum of the individual resistances. This problem asks you to write ...

etwa 19 Stunden vor

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Simple Electrical Power Calculation
Calculate the electrical power using the formula: P=V×I where: V is the voltage (in volts) I is the current (in amperes)

etwa 19 Stunden vor

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Ohm’s Law - Calculate Resistance
Ohm’s Law states that resistance R can be calculated as:R=V/I​ where: V is the voltage (in volts) I is the current (in ampere...

etwa 19 Stunden vor

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Easy Sequences 8: Triangles with integer sides and prime perimeters
The triangle below is special. It has integer sides and a prime perimeter. Given an integer "n" we want to know how many t...

etwa 19 Stunden vor

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Easy Sequences 7: Easy as Composite Pi
The prime Pi function is defined as the number of prime numbers from 1 to a certain given limit. In MATLAB, it is easy to create...

etwa 19 Stunden vor

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Easy Sequences 40: Quadratic Congruence
Quadratic Congruence is a modular equation of the form: . In this exercise you will be given a vector containing the coefficie...

etwa 19 Stunden vor

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Easy Sequences 34: Modified Pascal's Triangle
Consider the integer triangle below: It follows the same ...

etwa 19 Stunden vor

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Easy Sequences 33: Web Trapped Ant
An ant is trapped on a spider web inside a can with open top. The can has a radius and height . A spider sitting on the outside...

etwa 19 Stunden vor

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Easy Sequences 30: Nearly Pythagorean Triangles
A Nearly Pythagorean Triangle (abbreviated as "NPT'), is an integer-sided triangle whose square of the longest side, which we wi...

etwa 19 Stunden vor

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Easy Sequences 26: Prime-Integer Line Segments
At the first quadrant in the -plane, you are asked to construct a line segment with the following specifications: Select a prim...

etwa 19 Stunden vor

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