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Solved
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...
2 months ago
Solved
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...
2 months ago
Solved
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 ...
2 months ago
Solved
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...
2 months ago
Solved
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 (...
2 months ago
Solved
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 ...
2 months ago
Solved
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...
2 months ago
Solved
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 ...
2 months ago
Solved
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)
2 months ago
Solved
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...
2 months ago
Solved
Estimating Battery Lifetime Based on Load Profile and Depth of Discharge (DoD)
In a Battery Management System (BMS), the lifetime of a battery depends on various factors, including the Depth of Discharge (Do...
2 months ago
Solved
Estimating the Range of an Electric Vehicle (EV)
In Electric Vehicles (EVs), the driving range is the estimated distance a vehicle can travel on a fully charged battery. The ran...
2 months ago
Solved
Estimating Battery Backup Time for an Inverter
In a Battery Management System (BMS), estimating the backup time of a battery-powered inverter helps determine how long it can s...
2 months ago
Solved
Battery Charge Rate Calculation
In a Battery Management System (BMS), the charge rate () of a battery can be calculated using the formula: where: is th...
2 months ago
Solved
Battery State of Health (SoH) Calculation
In a Battery Management System (BMS), the State of Health (SoH) of a battery is an indicator of its overall condition. It is cal...
2 months ago
Solved
Battery Charge Efficiency Calculation
In a Battery Management System (BMS), the efficiency of battery charging can be estimated using the formula: where: is the...
2 months ago
Solved
Battery Voltage Drop Estimation
In a Battery Management System (BMS), the voltage drop (V_drop) due to the load can be calculated using the formula:V_drop=I×R ...
2 months ago
Solved
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 ...
2 months ago
Solved
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: ...
2 months ago
Solved
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...
2 months ago
Solved
Frobenius McNugget Factorization
Mr. Frobenius McNugget is a peculiar man. As you might expect, he likes to eat Chicken McNuggets. But his love of number the...
5 months ago
Solved
Palindrome Checker
Create a MATLAB function that checks whether a given string is a palindrome or not. A palindrome is a word, phrase, number, or o...
5 months ago
Solved
Weighted average
Given two lists of numbers, determine the weighted average as follows Example [1 2 3] and [10 15 20] should result in 33.3...
6 months ago
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sum of non-primes
The sum of the non-primes no larger than 10 is 1+4+6+8+9+10=38 Find the sum of all the positive non-prime integers that do no...
6 months ago
Solved
Given a number N, find the smallest prime P>N
Given a number N, find the smallest prime P greater than N. For example: If N=10 then P=11. If N=13 then P=17.
6 months ago
Solved
area of an annulus
Given the diameter d of the inner circle of the annulus. Given length z of a chord of the outer circle of the annulus. This chor...
6 months ago
Solved
How to find the position of an element in a vector without using the find function
Write a function posX=findPosition(x,y) where x is a vector and y is the number that you are searching for. Examples: fin...
6 months ago
Solved
Identify de Polignac numbers
The numbers 125 and 329 can be written as the sum of a prime and a power of 2. For example, , and . The numbers 127 and 331, whi...
9 months ago
Solved
List the two-bit primes
Each year at Christmas, my father-in-law and his partner send me the Puzzle Mania section from the New York Times. This year’s e...
9 months ago
Solved
List the semiprimes
A semiprime number—or a 2-almost prime—is the product of two prime numbers. The numbers and are semiprimes, but and are not....
9 months ago