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Measuring membrane capacitance

Two ways of measuring the membrane capacitor: an RC circuit on the lab bench, and the whole-cell membrane test of a patch-clamp amplifier.

Circuit on the breadboard

Like real parts, each component's true value differs a little from its label, so your measured τ will not match the nominal RC exactly.

Function generator

CH1 generator   CH2 across C   trigger CH1 ↑ STOP
Cursor 1 → 2
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Choose a cursor mode, then drag the dashed lines on the screen.
Cursor values
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Generator period
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Measuring τ. With a square wave slow enough that the capacitor fully charges (half period ≥ 5τ), set time cursors at the rising edge and where VC reaches 63% of its step; or set voltage cursors at 0% and 63% and read the time between them. Now raise the frequency: when the half period gets shorter than τ the capacitor never finishes charging, and VC turns into a small triangle around the mean. The circuit is a low-pass filter, the same reason the membrane smooths fast synaptic inputs. In the model cell, Rm leaks current, so VC settles at Rm/(Rs+Rm) of the input and τ = C·(Rs ∥ Rm) is shorter than RsC. The scope input is treated as ideal (it draws no current).

Recording stage

Test pulse

Model: the preparation

The true properties of the pipette and cell. In a real experiment these are unknown; the membrane test estimates them.

Pipette & seal

Cell

Amplifier: compensation

Settings you dial in on the amplifier to cancel capacitive transients. When they match the preparation, the transient disappears and the dials read out its values.

Cancels the pipette capacitance Cp. Too much gives an inverted spike.

Amplifier: recording

Pipette current (pA), sampled at 50 kHz   currentexponential fit
Command potential (mV, relative to holding)

Membrane test results

ParameterMeasuredTrue

How the numbers are obtained

Laboratorio de Neurofisiología · USACH