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### Number and algebra

### Geometry and measure

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### Working mathematically

### For younger learners

### Advanced mathematics

# Differential Electricity

## You may also like

### Differential Equation Matcher

### The Not-so-simple Pendulum 2

### The Real Hydrogen Atom

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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Age 16 to 18

Challenge Level

V represents the voltage drop across the parallel combination of the capacitor (C) and resistor (R). Find the differential equation that V obeys in terms of $V_0$ and its derivatives.

Make up some realistic constants for a capacitor. Can you solve the resulting differential equation?

Match the descriptions of physical processes to these differential equations.

Things are roughened up and friction is now added to the approximate simple pendulum

Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms