Acceleration Due to Gravity Calculator Acceleration Due to Gravity Calculator Calculate the acceleration due to gravity at different altitudes using the formula: \( g = g_0\left(\frac{R}{R+h}\right)^2 \) where \( g_0 \) is the acceleration at sea level, \( R \) is the Earth’s radius, and \( h \) is the altitude above the surface. * […]
Read MoreTerminal Velocity Calculator using Stoke’s Law Terminal Velocity Calculator using Stoke’s Law Calculate the terminal velocity of a sphere using Stoke’s Law: \( v_t = \frac{2}{9}\frac{r^2 (\rho_p – \rho_f) g}{\mu} \) where \( r \) is the sphere’s radius (m), \( \rho_p \) is the particle density (kg/m³), \( \rho_f \) is the fluid density […]
Read MoreProjectile Motion Trajectory Calculator Projectile Motion Trajectory Calculator Calculate the projectile motion parameters using the formulas: \( T = \frac{2v_0\sin(\theta)}{g} \), \( H = \frac{v_0^2\sin^2(\theta)}{2g} \), and \( R = \frac{v_0^2\sin(2\theta)}{g} \). where \( v_0 \) is the initial velocity (m/s), \( \theta \) is the launch angle (degrees), and \( g \) is the […]
Read MoreShort Transmission Line Efficiency & Regulation Calculator Short Transmission Line Efficiency & Regulation Calculator For a short transmission line, the receiving-end voltage is approximated by: \[ V_R = V_S – \frac{I\Bigl(R\cos\phi + X\sin\phi\Bigr)}{1000} \] where \(\phi=\arccos(PF)\). Then, the efficiency is \[ \eta = \frac{V_R}{V_S}\times100\% \] and the voltage regulation is \[ \text{Regulation} = \frac{V_S-V_R}{V_R}\times100\%. \] […]
Read MoreFerranti Effect Voltage Calculator Ferranti Effect Voltage Calculator Calculate the receiving-end voltage due to the Ferranti effect using: \( V_R = V_S \sec(\beta L) \) and \( \Delta V = V_R – V_S \) where \( \beta = 2\pi f \sqrt{L’ C’} \) (with \(L’\) in mH/km and \(C’\) in µF/km) and \(L\) is in […]
Read MoreFinesse Value of Cavity Calculator Finesse Value of Cavity Calculator Calculate the finesse \(F\) of a Fabry–Pérot cavity using the formula: \( F = \frac{\pi\sqrt{R}}{1-R} \) where \(R\) is the mirror reflectivity (0 < \(R\) < 1). * Enter the mirror reflectivity as a decimal (e.g., 0.99). Step 1: Enter Mirror Reflectivity Mirror Reflectivity, \(R\): […]
Read MoreGMR of Two-Layer ACSR Calculator Two-Layer ACSR GMR Calculator Calculate the effective Geometric Mean Radius (GMR) for a two-layer ACSR conductor bundle. For a single conductor, \(GMR = 0.7788\,r\). For a bundle with one inner conductor and \(n\) outer strands, \[ GMR = \Bigl(0.7788\,r\,R^n\Bigr)^{\frac{1}{n+1}} \] * Enter the conductor radius (m), the number of outer […]
Read MoreGMR of Bundled Conductors Calculator Bundled Conductors GMR Calculator Calculate the effective Geometric Mean Radius (GMR) for bundled conductors. For a single conductor, \(GMR = 0.7788\,r\). For an \(N\)-conductor bundle (with \(N>1\)) arranged in a line with equal spacing \(d\), \[ GMR = \Bigl(0.7788\,r\,d^{(N-1)}\Bigr)^{\frac{1}{N}} \] * Enter the conductor radius (m) and, for bundles, the […]
Read MoreWhip Antenna Calculator Whip Antenna Calculator Calculate the quarter-wave whip antenna length using: \( L = \frac{75}{f} \) where \(f\) is in MHz. * Enter the operating frequency (MHz). Step 1: Enter Frequency Frequency (MHz): Example: 900 MHz Calculate Whip Antenna Length Calculated Whip Antenna Length Recalculate Derived Formula: \( L = \frac{75}{f} \) with […]
Read MoreMicrostrip Patch Antenna Calculator Microstrip Patch Antenna Calculator Design a rectangular microstrip patch antenna using: \( W = \frac{c}{2f}\sqrt{\frac{2}{\varepsilon_r+1}} \), \( \varepsilon_{\mathrm{eff}} = \frac{\varepsilon_r+1}{2} + \frac{\varepsilon_r-1}{2}\left(1+12\frac{h}{W}\right)^{-1/2} \), \( \Delta L = 0.412\,h\,\frac{(\varepsilon_{\mathrm{eff}}+0.3)(\frac{W}{h}+0.264)}{(\varepsilon_{\mathrm{eff}}-0.258)(\frac{W}{h}+0.8)} \), \( L = \frac{c}{2f\sqrt{\varepsilon_{\mathrm{eff}}}} – 2\Delta L \) where \( f \) is in GHz and \( h \) is in mm. […]
Read More