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Solved
Sum of series IX
What is the sum of the following sequence: Σ 1/k! for k=1...n for different n?
6 hours ago
Solved
Sum of series
a(n) = n^2 - (n-1)^2 find the summation of the series upto n i.e. a(1)+a(2)+...+a(n)
6 hours ago
Solved
Sum of series VI
What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?
6 hours ago
Solved
Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?
6 hours ago
Solved
Sum of series IV
What is the sum of the following sequence: Σ(-1)^(k+1) (2k-1)^2 for k=1...n for different n?
6 hours ago
Solved
Sum of series III
What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?
6 hours ago
Solved
Sum of series II
What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?
6 hours ago
Solved
Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?
6 hours ago
Solved
Sum of series VII
What is the sum of the following sequence: Σ(km^k)/(k+m)! for k=1...n for different n and m?
6 hours ago
Solved
Temperature Conversion 3
Given a temperature in Celcius, convert it to Fahrenheit.
13 hours 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...
14 hours 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...
14 hours 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...
14 hours 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...
14 hours 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...
14 hours 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...
14 hours 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 ...
14 hours 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 ...
14 hours 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: ...
14 hours 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...
14 hours ago
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...
15 hours 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...
17 hours 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 ...
17 hours ago
